7x(x+8)-8(x+8)=0

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Solution for 7x(x+8)-8(x+8)=0 equation: 


Simplifying
7x(x + 8) + -8(x + 8) = 0

Reorder the terms:
7x(8 + x) + -8(x + 8) = 0
(8 * 7x + x * 7x) + -8(x + 8) = 0
(56x + 7x2) + -8(x + 8) = 0

Reorder the terms:
56x + 7x2 + -8(8 + x) = 0
56x + 7x2 + (8 * -8 + x * -8) = 0
56x + 7x2 + (-64 + -8x) = 0

Reorder the terms:
-64 + 56x + -8x + 7x2 = 0

Combine like terms: 56x + -8x = 48x
-64 + 48x + 7x2 = 0

Solving
-64 + 48x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(8 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

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

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

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-8, 1.142857143}

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