# Thread: Solve X cranking me. Any help?

1. ## Solve X cranking me. Any help?

Simple solve for X doesnt seem so simple
Showing the steps would be nice
8(x – 1) -2(7x + 10) – 16 = 0

2. $8(x - 1) - 2(7x + 10) - 16 = 0$

$
8x - 8 - 14x - 20 - 16 = 0$

$
- 6x - 44 = 0$

$
- 6x = 44
$

$x = - \frac{{44}} {6}$

$
x = - 7\frac{1} {3} = - 7.\bar 3$

3. Originally Posted by xifentoozlerix
$8(x - 1) - 2(7x + 10) - 16 = 0$

$
8x - 8 - 14x - 20 - 16 = 0$

$
- 6x - 44 = 0$

$
- 6x = 44
$

$x = - \frac{{44}} {6}$

$
x = - 7\frac{1} {3} = - 7.\bar 3$
The $-\frac{44}{6} = -\frac{22}{3}$ answer is likely preferable over the decimal or mixed fraction form if you are in a Math class.

-Dan

4. Originally Posted by topsquark
The $-\frac{44}{6} = -\frac{22}{3}$ answer is likely preferable over the decimal or mixed fraction form if you are in a Math class.

-Dan
You are correct. I got too "simplify happy."

5. ## Mind checking a few problems and how to approach?

simplify without negative exponents
(2x^2y^-2z^-1x^-1)^-3

Simplify
(3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

6. ## Mind checking a few problems and how to approach?

simplify without negative exponents
(2x^2y^-2z^-1x^-1)^-3

Simplify
(3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

expand
(2e^x+3)(2e^x-3)

7. Originally Posted by dude
simplify without negative exponents
(2x^2y^-2z^-1x^-1)^-3

Simplify
(3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

expand
(2e^x+3)(2e^x-3)
Since it is only one term, you can multiply each factor's exponent by $-3$:

$(2x^2 y^{ - 2} z^{ - 1} x^{ - 1} )^{ - 3} = 2^{ - 3} x^{ - 6} y^6 z^3 x^3 = \frac{{x^{ - 3} y^6 z^3 }}
{8} = \frac{{y^6 z^3 }}
{{8x^3 }}
$

$(3x^3 + 6x^2 + 2x - 4) - (2x^3 - 4x^2 - 2x + 4) \to 3x^3 + 6x^2 + 2x - 4 - 2x^3 + 4x^2 + 2x - 4$ $= x^3 + 10x^2 + 4x - 8$

$(2e^x + 3)(2e^x - 3) = \left( {2e^x } \right)^2 - 6e^x + 6e^x - 9 = 4e^{2x} - 9$

8. Originally Posted by dude
simplify without negative exponents
(2x^2y^-2z^-1x^-1)^-3

Simplify
(3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)
Originally Posted by dude
simplify without negative exponents
(2x^2y^-2z^-1x^-1)^-3

Simplify
(3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

expand
(2e^x+3)(2e^x-3)
New problems need to go in new threads.

-Dan

9. ## Man the steps help

expand:
(2x^2-1)^2

Factor completely (factor common first)
y^4–6y^3+9y^2

factor/simplify lowest terms
9x^2-1 * x^2-1
__x-1 ___6x^2-2x

1 - 1
x_ x+2