-7x^2+6+2x-12-9x^2=

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Solution for -7x^2+6+2x-12-9x^2= equation:


Simplifying
-7x2 + 6 + 2x + -12 + -9x2 = 0

Reorder the terms:
6 + -12 + 2x + -7x2 + -9x2 = 0

Combine like terms: 6 + -12 = -6
-6 + 2x + -7x2 + -9x2 = 0

Combine like terms: -7x2 + -9x2 = -16x2
-6 + 2x + -16x2 = 0

Solving
-6 + 2x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + x + -8x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + x + -8x2)' equal to zero and attempt to solve: Simplifying -3 + x + -8x2 = 0 Solving -3 + x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.375 + -0.125x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.125x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.125x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.125x + x2 = 0 + -0.375 -0.125x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.125x + x2 = -0.375 The x term is x. 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. -0.125x + 0.25 + x2 = -0.375 + 0.25 Reorder the terms: 0.25 + -0.125x + x2 = -0.375 + 0.25 Combine like terms: -0.375 + 0.25 = -0.125 0.25 + -0.125x + x2 = -0.125 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.125 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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