(25+2x)(20+2x)=0

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Solution for (25+2x)(20+2x)=0 equation: 


Simplifying
(25 + 2x)(20 + 2x) = 0

Multiply (25 + 2x) * (20 + 2x)
(25(20 + 2x) + 2x * (20 + 2x)) = 0
((20 * 25 + 2x * 25) + 2x * (20 + 2x)) = 0
((500 + 50x) + 2x * (20 + 2x)) = 0
(500 + 50x + (20 * 2x + 2x * 2x)) = 0
(500 + 50x + (40x + 4x2)) = 0

Combine like terms: 50x + 40x = 90x
(500 + 90x + 4x2) = 0

Solving
500 + 90x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(250 + 45x + 2x2) = 0

Factor a trinomial.
2((25 + 2x)(10 + 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-12.5, -10}

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