(5x+3)(7x-7)=

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Solution for (5x+3)(7x-7)= equation: 


Simplifying
(5x + 3)(7x + -7) = 0

Reorder the terms:
(3 + 5x)(7x + -7) = 0

Reorder the terms:
(3 + 5x)(-7 + 7x) = 0

Multiply (3 + 5x) * (-7 + 7x)
(3(-7 + 7x) + 5x * (-7 + 7x)) = 0
((-7 * 3 + 7x * 3) + 5x * (-7 + 7x)) = 0
((-21 + 21x) + 5x * (-7 + 7x)) = 0
(-21 + 21x + (-7 * 5x + 7x * 5x)) = 0
(-21 + 21x + (-35x + 35x2)) = 0

Combine like terms: 21x + -35x = -14x
(-21 + -14x + 35x2) = 0

Solving
-21 + -14x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + -2x + 5x2) = 0

Factor a trinomial.
7((-3 + -5x)(1 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
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
Solution
x = {-0.6, 1}

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