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

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


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

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

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

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

Combine like terms: 50x + -10x = 40x
(-50 + 40x + 10x2) = 0

Solving
-50 + 40x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-5 + 4x + x2) = 0

Factor a trinomial.
10((-5 + -1x)(1 + -1x)) = 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 '(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 = {-5, 1}

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