-7(x+2)x+7=8x+7

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Solution for -7(x+2)x+7=8x+7 equation: 


Simplifying
-7(x + 2) * x + 7 = 8x + 7

Reorder the terms:
-7(2 + x) * x + 7 = 8x + 7

Reorder the terms for easier multiplication:
-7x(2 + x) + 7 = 8x + 7
(2 * -7x + x * -7x) + 7 = 8x + 7
(-14x + -7x2) + 7 = 8x + 7

Reorder the terms:
7 + -14x + -7x2 = 8x + 7

Reorder the terms:
7 + -14x + -7x2 = 7 + 8x

Add '-7' to each side of the equation.
7 + -14x + -7 + -7x2 = 7 + -7 + 8x

Reorder the terms:
7 + -7 + -14x + -7x2 = 7 + -7 + 8x

Combine like terms: 7 + -7 = 0
0 + -14x + -7x2 = 7 + -7 + 8x
-14x + -7x2 = 7 + -7 + 8x

Combine like terms: 7 + -7 = 0
-14x + -7x2 = 0 + 8x
-14x + -7x2 = 8x

Solving
-14x + -7x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-14x + -8x + -7x2 = 8x + -8x

Combine like terms: -14x + -8x = -22x
-22x + -7x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-22x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(22 + 7x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(22 + 7x)' equal to zero and attempt to solve:

Simplifying
22 + 7x = 0

Solving
22 + 7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.
22 + -22 + 7x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 0 + -22
7x = 0 + -22

Combine like terms: 0 + -22 = -22
7x = -22

Divide each side by '7'.
x = -3.142857143

Simplifying
x = -3.142857143
Solution
x = {0, -3.142857143}

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