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Simplifying 8xy + x2 + -10yx + -9x + 10xy + -12x2 = 0 Reorder the terms: -9x + 8xy + -10xy + 10xy + x2 + -12x2 = 0 Combine like terms: 8xy + -10xy = -2xy -9x + -2xy + 10xy + x2 + -12x2 = 0 Combine like terms: -2xy + 10xy = 8xy -9x + 8xy + x2 + -12x2 = 0 Combine like terms: x2 + -12x2 = -11x2 -9x + 8xy + -11x2 = 0 Solving -9x + 8xy + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 8y + -11x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-9 + 8y + -11x)' equal to zero and attempt to solve: Simplifying -9 + 8y + -11x = 0 Reorder the terms: -9 + -11x + 8y = 0 Solving -9 + -11x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -11x + 9 + 8y = 0 + 9 Reorder the terms: -9 + 9 + -11x + 8y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11x + 8y = 0 + 9 -11x + 8y = 0 + 9 Combine like terms: 0 + 9 = 9 -11x + 8y = 9 Add '-8y' to each side of the equation. -11x + 8y + -8y = 9 + -8y Combine like terms: 8y + -8y = 0 -11x + 0 = 9 + -8y -11x = 9 + -8y Divide each side by '-11'. x = -0.8181818182 + 0.7272727273y Simplifying x = -0.8181818182 + 0.7272727273ySolution
x = {0, -0.8181818182 + 0.7272727273y}
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