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Simplifying xy + 5x2 + -7yx + -5x + 12xy + -9x2 = 0 Reorder the terms: -5x + xy + -7xy + 12xy + 5x2 + -9x2 = 0 Combine like terms: xy + -7xy = -6xy -5x + -6xy + 12xy + 5x2 + -9x2 = 0 Combine like terms: -6xy + 12xy = 6xy -5x + 6xy + 5x2 + -9x2 = 0 Combine like terms: 5x2 + -9x2 = -4x2 -5x + 6xy + -4x2 = 0 Solving -5x + 6xy + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 6y + -4x) = 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 '(-5 + 6y + -4x)' equal to zero and attempt to solve: Simplifying -5 + 6y + -4x = 0 Reorder the terms: -5 + -4x + 6y = 0 Solving -5 + -4x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4x + 5 + 6y = 0 + 5 Reorder the terms: -5 + 5 + -4x + 6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x + 6y = 0 + 5 -4x + 6y = 0 + 5 Combine like terms: 0 + 5 = 5 -4x + 6y = 5 Add '-6y' to each side of the equation. -4x + 6y + -6y = 5 + -6y Combine like terms: 6y + -6y = 0 -4x + 0 = 5 + -6y -4x = 5 + -6y Divide each side by '-4'. x = -1.25 + 1.5y Simplifying x = -1.25 + 1.5ySolution
x = {0, -1.25 + 1.5y}
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