3x(2x-4)-15=20-x

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Solution for 3x(2x-4)-15=20-x equation: 


Simplifying
3x(2x + -4) + -15 = 20 + -1x

Reorder the terms:
3x(-4 + 2x) + -15 = 20 + -1x
(-4 * 3x + 2x * 3x) + -15 = 20 + -1x
(-12x + 6x2) + -15 = 20 + -1x

Reorder the terms:
-15 + -12x + 6x2 = 20 + -1x

Solving
-15 + -12x + 6x2 = 20 + -1x

Solving for variable 'x'.

Reorder the terms:
-15 + -20 + -12x + x + 6x2 = 20 + -1x + -20 + x

Combine like terms: -15 + -20 = -35
-35 + -12x + x + 6x2 = 20 + -1x + -20 + x

Combine like terms: -12x + x = -11x
-35 + -11x + 6x2 = 20 + -1x + -20 + x

Reorder the terms:
-35 + -11x + 6x2 = 20 + -20 + -1x + x

Combine like terms: 20 + -20 = 0
-35 + -11x + 6x2 = 0 + -1x + x
-35 + -11x + 6x2 = -1x + x

Combine like terms: -1x + x = 0
-35 + -11x + 6x2 = 0

Factor a trinomial.
(-5 + -3x)(7 + -2x) = 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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-1.666666667, 3.5}

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