9x(x+7)-7(x+7)=0

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Solution for 9x(x+7)-7(x+7)=0 equation: 


Simplifying
9x(x + 7) + -7(x + 7) = 0

Reorder the terms:
9x(7 + x) + -7(x + 7) = 0
(7 * 9x + x * 9x) + -7(x + 7) = 0
(63x + 9x2) + -7(x + 7) = 0

Reorder the terms:
63x + 9x2 + -7(7 + x) = 0
63x + 9x2 + (7 * -7 + x * -7) = 0
63x + 9x2 + (-49 + -7x) = 0

Reorder the terms:
-49 + 63x + -7x + 9x2 = 0

Combine like terms: 63x + -7x = 56x
-49 + 56x + 9x2 = 0

Solving
-49 + 56x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(7 + -9x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778
Solution
x = {-7, 0.7777777778}

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