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Simplifying 12x2y + -16x2 + -18y + 24 = 0 Reorder the terms: 24 + -16x2 + 12x2y + -18y = 0 Solving 24 + -16x2 + 12x2y + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -16x2 + 12x2y + -24 + -18y = 0 + -24 Reorder the terms: 24 + -24 + -16x2 + 12x2y + -18y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -16x2 + 12x2y + -18y = 0 + -24 -16x2 + 12x2y + -18y = 0 + -24 Combine like terms: 0 + -24 = -24 -16x2 + 12x2y + -18y = -24 Add '18y' to each side of the equation. -16x2 + 12x2y + -18y + 18y = -24 + 18y Combine like terms: -18y + 18y = 0 -16x2 + 12x2y + 0 = -24 + 18y -16x2 + 12x2y = -24 + 18y Reorder the terms: 24 + -16x2 + 12x2y + -18y = -24 + 18y + 24 + -18y Reorder the terms: 24 + -16x2 + 12x2y + -18y = -24 + 24 + 18y + -18y Combine like terms: -24 + 24 = 0 24 + -16x2 + 12x2y + -18y = 0 + 18y + -18y 24 + -16x2 + 12x2y + -18y = 18y + -18y Combine like terms: 18y + -18y = 0 24 + -16x2 + 12x2y + -18y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -8x2 + 6x2y + -9y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -8x2 + 6x2y + -9y)' equal to zero and attempt to solve: Simplifying 12 + -8x2 + 6x2y + -9y = 0 Solving 12 + -8x2 + 6x2y + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8x2 + 6x2y + -12 + -9y = 0 + -12 Reorder the terms: 12 + -12 + -8x2 + 6x2y + -9y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8x2 + 6x2y + -9y = 0 + -12 -8x2 + 6x2y + -9y = 0 + -12 Combine like terms: 0 + -12 = -12 -8x2 + 6x2y + -9y = -12 Add '9y' to each side of the equation. -8x2 + 6x2y + -9y + 9y = -12 + 9y Combine like terms: -9y + 9y = 0 -8x2 + 6x2y + 0 = -12 + 9y -8x2 + 6x2y = -12 + 9y 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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