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Simplifying 8x + -16x2 + -12xy = 0 Reorder the terms: 8x + -12xy + -16x2 = 0 Solving 8x + -12xy + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + -3y + -4x) = 0 Ignore the factor 4.Subproblem 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 '(2 + -3y + -4x)' equal to zero and attempt to solve: Simplifying 2 + -3y + -4x = 0 Reorder the terms: 2 + -4x + -3y = 0 Solving 2 + -4x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4x + -2 + -3y = 0 + -2 Reorder the terms: 2 + -2 + -4x + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4x + -3y = 0 + -2 -4x + -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -4x + -3y = -2 Add '3y' to each side of the equation. -4x + -3y + 3y = -2 + 3y Combine like terms: -3y + 3y = 0 -4x + 0 = -2 + 3y -4x = -2 + 3y Divide each side by '-4'. x = 0.5 + -0.75y Simplifying x = 0.5 + -0.75ySolution
x = {0, 0.5 + -0.75y}
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