(2x+20)(2x+30)=0

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Solution for (2x+20)(2x+30)=0 equation: 


Simplifying
(2x + 20)(2x + 30) = 0

Reorder the terms:
(20 + 2x)(2x + 30) = 0

Reorder the terms:
(20 + 2x)(30 + 2x) = 0

Multiply (20 + 2x) * (30 + 2x)
(20(30 + 2x) + 2x * (30 + 2x)) = 0
((30 * 20 + 2x * 20) + 2x * (30 + 2x)) = 0
((600 + 40x) + 2x * (30 + 2x)) = 0
(600 + 40x + (30 * 2x + 2x * 2x)) = 0
(600 + 40x + (60x + 4x2)) = 0

Combine like terms: 40x + 60x = 100x
(600 + 100x + 4x2) = 0

Solving
600 + 100x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(150 + 25x + x2) = 0

Factor a trinomial.
4((15 + x)(10 + x)) = 0

Ignore the factor 4.

Subproblem 1
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

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 = {-15, -10}

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