6x^2+216=6x

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Solution for 6x^2+216=6x equation:


Simplifying
6x2 + 216 = 6x

Reorder the terms:
216 + 6x2 = 6x

Solving
216 + 6x2 = 6x

Solving for variable 'x'.

Reorder the terms:
216 + -6x + 6x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
216 + -6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(36 + -1x + x2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(36 + -1x + x2)' equal to zero and attempt to solve: Simplifying 36 + -1x + x2 = 0 Solving 36 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -1x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -1x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x + x2 = 0 + -36 -1x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1x + x2 = -36 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 = -36 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -36 + 0.25 Combine like terms: -36 + 0.25 = -35.75 0.25 + -1x + x2 = -35.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -35.75 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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