(2x)(5x+5)=

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


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

Remove parenthesis around (2x)
2x(5x + 5) = 0

Reorder the terms:
2x(5 + 5x) = 0
(5 * 2x + 5x * 2x) = 0
(10x + 10x2) = 0

Solving
10x + 10x2 = 0

Solving for variable 'x'.

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

Ignore the factor 10.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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