(7x+7)(7x-5)=

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Solution for (7x+7)(7x-5)= equation: 


Simplifying
(7x + 7)(7x + -5) = 0

Reorder the terms:
(7 + 7x)(7x + -5) = 0

Reorder the terms:
(7 + 7x)(-5 + 7x) = 0

Multiply (7 + 7x) * (-5 + 7x)
(7(-5 + 7x) + 7x * (-5 + 7x)) = 0
((-5 * 7 + 7x * 7) + 7x * (-5 + 7x)) = 0
((-35 + 49x) + 7x * (-5 + 7x)) = 0
(-35 + 49x + (-5 * 7x + 7x * 7x)) = 0
(-35 + 49x + (-35x + 49x2)) = 0

Combine like terms: 49x + -35x = 14x
(-35 + 14x + 49x2) = 0

Solving
-35 + 14x + 49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-5 + 2x + 7x2) = 0

Factor a trinomial.
7((-1 + -1x)(5 + -7x)) = 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 '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-1, 0.7142857143}

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