-2(5*x-5)*(-2*x-7)=0

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Solution for -2(5*x-5)*(-2*x-7)=0 equation: 


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

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

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

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

Combine like terms: 10x + -35x = -25x
-2(35 + -25x + -10x2) = 0
(35 * -2 + -25x * -2 + -10x2 * -2) = 0
(-70 + 50x + 20x2) = 0

Solving
-70 + 50x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-7 + 5x + 2x2) = 0

Factor a trinomial.
10((-7 + -2x)(1 + -1x)) = 0

Ignore the factor 10.

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

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

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

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

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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 = {-3.5, 1}

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