2x^2-4x-15=2x-15

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Solution for 2x^2-4x-15=2x-15 equation: 


Simplifying
2x2 + -4x + -15 = 2x + -15

Reorder the terms:
-15 + -4x + 2x2 = 2x + -15

Reorder the terms:
-15 + -4x + 2x2 = -15 + 2x

Add '15' to each side of the equation.
-15 + -4x + 15 + 2x2 = -15 + 15 + 2x

Reorder the terms:
-15 + 15 + -4x + 2x2 = -15 + 15 + 2x

Combine like terms: -15 + 15 = 0
0 + -4x + 2x2 = -15 + 15 + 2x
-4x + 2x2 = -15 + 15 + 2x

Combine like terms: -15 + 15 = 0
-4x + 2x2 = 0 + 2x
-4x + 2x2 = 2x

Solving
-4x + 2x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-4x + -2x + 2x2 = 2x + -2x

Combine like terms: -4x + -2x = -6x
-6x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-6x + 2x2 = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

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

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

Simplifying
x = 3
Solution
x = {0, 3}

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