3x^2=3x-18

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Solution for 3x^2=3x-18 equation:


Simplifying
3x2 = 3x + -18

Reorder the terms:
3x2 = -18 + 3x

Solving
3x2 = -18 + 3x

Solving for variable 'x'.

Reorder the terms:
18 + -3x + 3x2 = -18 + 3x + 18 + -3x

Reorder the terms:
18 + -3x + 3x2 = -18 + 18 + 3x + -3x

Combine like terms: -18 + 18 = 0
18 + -3x + 3x2 = 0 + 3x + -3x
18 + -3x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -1x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(6 + -1x + x2)' equal to zero and attempt to solve: Simplifying 6 + -1x + x2 = 0 Solving 6 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -1x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -1x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x + x2 = 0 + -6 -1x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x + x2 = -6 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -6 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + -1x + x2 = -5.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -5.75 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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