2x^2-4x=-12

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


Simplifying
2x2 + -4x = -12

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

Solving
-4x + 2x2 = -12

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -2x + x2)' equal to zero and attempt to solve: Simplifying 6 + -2x + x2 = 0 Solving 6 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -2x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x + x2 = 0 + -6 -2x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2x + x2 = -6 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -6 + 1 Reorder the terms: 1 + -2x + x2 = -6 + 1 Combine like terms: -6 + 1 = -5 1 + -2x + x2 = -5 Factor a perfect square on the left side: (x + -1)(x + -1) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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