-8x+240=-3(x+4)(x-15)

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Solution for -8x+240=-3(x+4)(x-15) equation: 


Simplifying
-8x + 240 = -3(x + 4)(x + -15)

Reorder the terms:
240 + -8x = -3(x + 4)(x + -15)

Reorder the terms:
240 + -8x = -3(4 + x)(x + -15)

Reorder the terms:
240 + -8x = -3(4 + x)(-15 + x)

Multiply (4 + x) * (-15 + x)
240 + -8x = -3(4(-15 + x) + x(-15 + x))
240 + -8x = -3((-15 * 4 + x * 4) + x(-15 + x))
240 + -8x = -3((-60 + 4x) + x(-15 + x))
240 + -8x = -3(-60 + 4x + (-15 * x + x * x))
240 + -8x = -3(-60 + 4x + (-15x + x2))

Combine like terms: 4x + -15x = -11x
240 + -8x = -3(-60 + -11x + x2)
240 + -8x = (-60 * -3 + -11x * -3 + x2 * -3)
240 + -8x = (180 + 33x + -3x2)

Solving
240 + -8x = 180 + 33x + -3x2

Solving for variable 'x'.

Reorder the terms:
240 + -180 + -8x + -33x + 3x2 = 180 + 33x + -3x2 + -180 + -33x + 3x2

Combine like terms: 240 + -180 = 60
60 + -8x + -33x + 3x2 = 180 + 33x + -3x2 + -180 + -33x + 3x2

Combine like terms: -8x + -33x = -41x
60 + -41x + 3x2 = 180 + 33x + -3x2 + -180 + -33x + 3x2

Reorder the terms:
60 + -41x + 3x2 = 180 + -180 + 33x + -33x + -3x2 + 3x2

Combine like terms: 180 + -180 = 0
60 + -41x + 3x2 = 0 + 33x + -33x + -3x2 + 3x2
60 + -41x + 3x2 = 33x + -33x + -3x2 + 3x2

Combine like terms: 33x + -33x = 0
60 + -41x + 3x2 = 0 + -3x2 + 3x2
60 + -41x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
60 + -41x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(12 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {1.666666667, 12}

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