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Simplifying 18x2y + -24x2 + -27y + 36 = 0 Reorder the terms: 36 + -24x2 + 18x2y + -27y = 0 Solving 36 + -24x2 + 18x2y + -27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -24x2 + 18x2y + -36 + -27y = 0 + -36 Reorder the terms: 36 + -36 + -24x2 + 18x2y + -27y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -24x2 + 18x2y + -27y = 0 + -36 -24x2 + 18x2y + -27y = 0 + -36 Combine like terms: 0 + -36 = -36 -24x2 + 18x2y + -27y = -36 Add '27y' to each side of the equation. -24x2 + 18x2y + -27y + 27y = -36 + 27y Combine like terms: -27y + 27y = 0 -24x2 + 18x2y + 0 = -36 + 27y -24x2 + 18x2y = -36 + 27y Reorder the terms: 36 + -24x2 + 18x2y + -27y = -36 + 27y + 36 + -27y Reorder the terms: 36 + -24x2 + 18x2y + -27y = -36 + 36 + 27y + -27y Combine like terms: -36 + 36 = 0 36 + -24x2 + 18x2y + -27y = 0 + 27y + -27y 36 + -24x2 + 18x2y + -27y = 27y + -27y Combine like terms: 27y + -27y = 0 36 + -24x2 + 18x2y + -27y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -8x2 + 6x2y + -9y) = 0 Ignore the factor 3.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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