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

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


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

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

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

Multiply (-7 + 9x) * (7 + 7x)
(-7(7 + 7x) + 9x * (7 + 7x)) = 0
((7 * -7 + 7x * -7) + 9x * (7 + 7x)) = 0
((-49 + -49x) + 9x * (7 + 7x)) = 0
(-49 + -49x + (7 * 9x + 7x * 9x)) = 0
(-49 + -49x + (63x + 63x2)) = 0

Combine like terms: -49x + 63x = 14x
(-49 + 14x + 63x2) = 0

Solving
-49 + 14x + 63x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-7 + 2x + 9x2) = 0

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

Ignore the factor 7.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

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 = {-1, 0.7777777778}

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