(25+2x)(10+2x)=0

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Solution for (25+2x)(10+2x)=0 equation: 


Simplifying
(25 + 2x)(10 + 2x) = 0

Multiply (25 + 2x) * (10 + 2x)
(25(10 + 2x) + 2x * (10 + 2x)) = 0
((10 * 25 + 2x * 25) + 2x * (10 + 2x)) = 0
((250 + 50x) + 2x * (10 + 2x)) = 0
(250 + 50x + (10 * 2x + 2x * 2x)) = 0
(250 + 50x + (20x + 4x2)) = 0

Combine like terms: 50x + 20x = 70x
(250 + 70x + 4x2) = 0

Solving
250 + 70x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(125 + 35x + 2x2) = 0

Factor a trinomial.
2((25 + 2x)(5 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(25 + 2x)' equal to zero and attempt to solve:

Simplifying
25 + 2x = 0

Solving
25 + 2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 0 + -25
2x = 0 + -25

Combine like terms: 0 + -25 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {-12.5, -5}

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