(10+2x)(18+2x)=

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Solution for (10+2x)(18+2x)= equation: 


Simplifying
(10 + 2x)(18 + 2x) = 0

Multiply (10 + 2x) * (18 + 2x)
(10(18 + 2x) + 2x * (18 + 2x)) = 0
((18 * 10 + 2x * 10) + 2x * (18 + 2x)) = 0
((180 + 20x) + 2x * (18 + 2x)) = 0
(180 + 20x + (18 * 2x + 2x * 2x)) = 0
(180 + 20x + (36x + 4x2)) = 0

Combine like terms: 20x + 36x = 56x
(180 + 56x + 4x2) = 0

Solving
180 + 56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(45 + 14x + x2) = 0

Factor a trinomial.
4((9 + x)(5 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9

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 = {-9, -5}

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