8x=12+18x*6x

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Solution for 8x=12+18x*6x equation:


Simplifying
8x = 12 + 18x * 6x

Reorder the terms for easier multiplication:
8x = 12 + 18 * 6x * x

Multiply 18 * 6
8x = 12 + 108x * x

Multiply x * x
8x = 12 + 108x2

Solving
8x = 12 + 108x2

Solving for variable 'x'.

Reorder the terms:
-12 + 8x + -108x2 = 12 + 108x2 + -12 + -108x2

Reorder the terms:
-12 + 8x + -108x2 = 12 + -12 + 108x2 + -108x2

Combine like terms: 12 + -12 = 0
-12 + 8x + -108x2 = 0 + 108x2 + -108x2
-12 + 8x + -108x2 = 108x2 + -108x2

Combine like terms: 108x2 + -108x2 = 0
-12 + 8x + -108x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 2x + -27x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + 2x + -27x2)' equal to zero and attempt to solve: Simplifying -3 + 2x + -27x2 = 0 Solving -3 + 2x + -27x2 = 0 Begin completing the square. Divide all terms by -27 the coefficient of the squared term: Divide each side by '-27'. 0.1111111111 + -0.07407407407x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.07407407407x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.07407407407x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.07407407407x + x2 = 0 + -0.1111111111 -0.07407407407x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.07407407407x + x2 = -0.1111111111 The x term is -0.07407407407x. Take half its coefficient (-0.03703703704). Square it (0.001371742113) and add it to both sides. Add '0.001371742113' to each side of the equation. -0.07407407407x + 0.001371742113 + x2 = -0.1111111111 + 0.001371742113 Reorder the terms: 0.001371742113 + -0.07407407407x + x2 = -0.1111111111 + 0.001371742113 Combine like terms: -0.1111111111 + 0.001371742113 = -0.109739368987 0.001371742113 + -0.07407407407x + x2 = -0.109739368987 Factor a perfect square on the left side: (x + -0.03703703704)(x + -0.03703703704) = -0.109739368987 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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