(30+2x)(50+2x)=0

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Solution for (30+2x)(50+2x)=0 equation:


Simplifying
(30 + 2x)(50 + 2x) = 0

Multiply (30 + 2x) * (50 + 2x)
(30(50 + 2x) + 2x * (50 + 2x)) = 0
((50 * 30 + 2x * 30) + 2x * (50 + 2x)) = 0
((1500 + 60x) + 2x * (50 + 2x)) = 0
(1500 + 60x + (50 * 2x + 2x * 2x)) = 0
(1500 + 60x + (100x + 4x2)) = 0

Combine like terms: 60x + 100x = 160x
(1500 + 160x + 4x2) = 0

Solving
1500 + 160x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(375 + 40x + x2) = 0

Factor a trinomial.
4((25 + x)(15 + x)) = 0

Ignore the factor 4.

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

Simplifying
25 + x = 0

Solving
25 + x = 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 + x = 0 + -25

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

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

Simplifying
x = -25

Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {-25, -15}

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