-3x^2-12=4x

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Solution for -3x^2-12=4x equation:


Simplifying
-3x2 + -12 = 4x

Reorder the terms:
-12 + -3x2 = 4x

Solving
-12 + -3x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-12 + -4x + -3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -4x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 4x + 3x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(12 + 4x + 3x2)' equal to zero and attempt to solve: Simplifying 12 + 4x + 3x2 = 0 Solving 12 + 4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 1.333333333x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 1.333333333x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1.333333333x + x2 = 0 + -4 1.333333333x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 1.333333333x + x2 = -4 The x term is 1.333333333x. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333x + 0.4444444442 + x2 = -4 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -4 + 0.4444444442 Combine like terms: -4 + 0.4444444442 = -3.5555555558 0.4444444442 + 1.333333333x + x2 = -3.5555555558 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -3.5555555558 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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