(5x-5)(7x+2)=

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Solution for (5x-5)(7x+2)= equation: 


Simplifying
(5x + -5)(7x + 2) = 0

Reorder the terms:
(-5 + 5x)(7x + 2) = 0

Reorder the terms:
(-5 + 5x)(2 + 7x) = 0

Multiply (-5 + 5x) * (2 + 7x)
(-5(2 + 7x) + 5x * (2 + 7x)) = 0
((2 * -5 + 7x * -5) + 5x * (2 + 7x)) = 0
((-10 + -35x) + 5x * (2 + 7x)) = 0
(-10 + -35x + (2 * 5x + 7x * 5x)) = 0
(-10 + -35x + (10x + 35x2)) = 0

Combine like terms: -35x + 10x = -25x
(-10 + -25x + 35x2) = 0

Solving
-10 + -25x + 35x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
5((-2 + -7x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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 = {-0.2857142857, 1}

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