(2x+10)*(2x+8)=

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Solution for (2x+10)*(2x+8)= equation: 


Simplifying
(2x + 10)(2x + 8) = 0

Reorder the terms:
(10 + 2x)(2x + 8) = 0

Reorder the terms:
(10 + 2x)(8 + 2x) = 0

Multiply (10 + 2x) * (8 + 2x)
(10(8 + 2x) + 2x * (8 + 2x)) = 0
((8 * 10 + 2x * 10) + 2x * (8 + 2x)) = 0
((80 + 20x) + 2x * (8 + 2x)) = 0
(80 + 20x + (8 * 2x + 2x * 2x)) = 0
(80 + 20x + (16x + 4x2)) = 0

Combine like terms: 20x + 16x = 36x
(80 + 36x + 4x2) = 0

Solving
80 + 36x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + 9x + x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-5, -4}

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