(2x+10)(3x-1)=150

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Solution for (2x+10)(3x-1)=150 equation: 


Simplifying
(2x + 10)(3x + -1) = 150

Reorder the terms:
(10 + 2x)(3x + -1) = 150

Reorder the terms:
(10 + 2x)(-1 + 3x) = 150

Multiply (10 + 2x) * (-1 + 3x)
(10(-1 + 3x) + 2x * (-1 + 3x)) = 150
((-1 * 10 + 3x * 10) + 2x * (-1 + 3x)) = 150
((-10 + 30x) + 2x * (-1 + 3x)) = 150
(-10 + 30x + (-1 * 2x + 3x * 2x)) = 150
(-10 + 30x + (-2x + 6x2)) = 150

Combine like terms: 30x + -2x = 28x
(-10 + 28x + 6x2) = 150

Solving
-10 + 28x + 6x2 = 150

Solving for variable 'x'.

Reorder the terms:
-10 + -150 + 28x + 6x2 = 150 + -150

Combine like terms: -10 + -150 = -160
-160 + 28x + 6x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-160 + 28x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-80 + 14x + 3x2) = 0

Factor a trinomial.
2((-8 + -1x)(10 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-8, 3.333333333}

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