5x^2-4x+12=2x^2-4x

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Solution for 5x^2-4x+12=2x^2-4x equation: 


Simplifying
5x2 + -4x + 12 = 2x2 + -4x

Reorder the terms:
12 + -4x + 5x2 = 2x2 + -4x

Reorder the terms:
12 + -4x + 5x2 = -4x + 2x2

Add '4x' to each side of the equation.
12 + -4x + 4x + 5x2 = -4x + 4x + 2x2

Combine like terms: -4x + 4x = 0
12 + 0 + 5x2 = -4x + 4x + 2x2
12 + 5x2 = -4x + 4x + 2x2

Combine like terms: -4x + 4x = 0
12 + 5x2 = 0 + 2x2
12 + 5x2 = 2x2

Solving
12 + 5x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
12 + 5x2 + -2x2 = 2x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
12 + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + 3x2 = 0

Add '-12' to each side of the equation.
12 + -12 + 3x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x2 = 0 + -12
3x2 = 0 + -12

Combine like terms: 0 + -12 = -12
3x2 = -12

Divide each side by '3'.
x2 = -4

Simplifying
x2 = -4

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

Combine like terms: -4 + 4 = 0
4 + x2 = 0

The solution to this equation could not be determined.

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