4x^2-12x=0-72

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Solution for 4x^2-12x=0-72 equation:


Simplifying
4x2 + -12x = 0 + -72

Reorder the terms:
-12x + 4x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-12x + 4x2 = -72

Solving
-12x + 4x2 = -72

Solving for variable 'x'.

Reorder the terms:
72 + -12x + 4x2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + -12x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -3x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(18 + -3x + x2)' equal to zero and attempt to solve: Simplifying 18 + -3x + x2 = 0 Solving 18 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -3x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -3x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3x + x2 = 0 + -18 -3x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -3x + x2 = -18 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -18 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -18 + 2.25 Combine like terms: -18 + 2.25 = -15.75 2.25 + -3x + x2 = -15.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -15.75 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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