(2x-10)(-5x-10)=

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Solution for (2x-10)(-5x-10)= equation: 


Simplifying
(2x + -10)(-5x + -10) = 0

Reorder the terms:
(-10 + 2x)(-5x + -10) = 0

Reorder the terms:
(-10 + 2x)(-10 + -5x) = 0

Multiply (-10 + 2x) * (-10 + -5x)
(-10(-10 + -5x) + 2x * (-10 + -5x)) = 0
((-10 * -10 + -5x * -10) + 2x * (-10 + -5x)) = 0
((100 + 50x) + 2x * (-10 + -5x)) = 0
(100 + 50x + (-10 * 2x + -5x * 2x)) = 0
(100 + 50x + (-20x + -10x2)) = 0

Combine like terms: 50x + -20x = 30x
(100 + 30x + -10x2) = 0

Solving
100 + 30x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(10 + 3x + -1x2) = 0

Factor a trinomial.
10((5 + -1x)(2 + x)) = 0

Ignore the factor 10.

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {5, -2}

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