(3x+3)(x-6)=25x-118

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Solution for (3x+3)(x-6)=25x-118 equation: 


Simplifying
(3x + 3)(x + -6) = 25x + -118

Reorder the terms:
(3 + 3x)(x + -6) = 25x + -118

Reorder the terms:
(3 + 3x)(-6 + x) = 25x + -118

Multiply (3 + 3x) * (-6 + x)
(3(-6 + x) + 3x * (-6 + x)) = 25x + -118
((-6 * 3 + x * 3) + 3x * (-6 + x)) = 25x + -118
((-18 + 3x) + 3x * (-6 + x)) = 25x + -118
(-18 + 3x + (-6 * 3x + x * 3x)) = 25x + -118
(-18 + 3x + (-18x + 3x2)) = 25x + -118

Combine like terms: 3x + -18x = -15x
(-18 + -15x + 3x2) = 25x + -118

Reorder the terms:
-18 + -15x + 3x2 = -118 + 25x

Solving
-18 + -15x + 3x2 = -118 + 25x

Solving for variable 'x'.

Reorder the terms:
-18 + 118 + -15x + -25x + 3x2 = -118 + 25x + 118 + -25x

Combine like terms: -18 + 118 = 100
100 + -15x + -25x + 3x2 = -118 + 25x + 118 + -25x

Combine like terms: -15x + -25x = -40x
100 + -40x + 3x2 = -118 + 25x + 118 + -25x

Reorder the terms:
100 + -40x + 3x2 = -118 + 118 + 25x + -25x

Combine like terms: -118 + 118 = 0
100 + -40x + 3x2 = 0 + 25x + -25x
100 + -40x + 3x2 = 25x + -25x

Combine like terms: 25x + -25x = 0
100 + -40x + 3x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {3.333333333, 10}

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