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Simplifying 8x + -12x2 = 15xy Solving 8x + -12x2 = 15xy Solving for variable 'x'. Reorder the terms: 8x + -15xy + -12x2 = 15xy + -15xy Combine like terms: 15xy + -15xy = 0 8x + -15xy + -12x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + -15y + -12x) = 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 '(8 + -15y + -12x)' equal to zero and attempt to solve: Simplifying 8 + -15y + -12x = 0 Reorder the terms: 8 + -12x + -15y = 0 Solving 8 + -12x + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -12x + -8 + -15y = 0 + -8 Reorder the terms: 8 + -8 + -12x + -15y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -12x + -15y = 0 + -8 -12x + -15y = 0 + -8 Combine like terms: 0 + -8 = -8 -12x + -15y = -8 Add '15y' to each side of the equation. -12x + -15y + 15y = -8 + 15y Combine like terms: -15y + 15y = 0 -12x + 0 = -8 + 15y -12x = -8 + 15y Divide each side by '-12'. x = 0.6666666667 + -1.25y Simplifying x = 0.6666666667 + -1.25ySolution
x = {0, 0.6666666667 + -1.25y}
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