(2x+10)*(2x+5)=150

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Solution for (2x+10)*(2x+5)=150 equation: 


Simplifying
(2x + 10)(2x + 5) = 150

Reorder the terms:
(10 + 2x)(2x + 5) = 150

Reorder the terms:
(10 + 2x)(5 + 2x) = 150

Multiply (10 + 2x) * (5 + 2x)
(10(5 + 2x) + 2x * (5 + 2x)) = 150
((5 * 10 + 2x * 10) + 2x * (5 + 2x)) = 150
((50 + 20x) + 2x * (5 + 2x)) = 150
(50 + 20x + (5 * 2x + 2x * 2x)) = 150
(50 + 20x + (10x + 4x2)) = 150

Combine like terms: 20x + 10x = 30x
(50 + 30x + 4x2) = 150

Solving
50 + 30x + 4x2 = 150

Solving for variable 'x'.

Reorder the terms:
50 + -150 + 30x + 4x2 = 150 + -150

Combine like terms: 50 + -150 = -100
-100 + 30x + 4x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-100 + 30x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-50 + 15x + 2x2) = 0

Factor a trinomial.
2((-10 + -1x)(5 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 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 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-10, 2.5}

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