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Simplifying 20x2 + -32xy + -12x = 0 Reorder the terms: -12x + -32xy + 20x2 = 0 Solving -12x + -32xy + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-3 + -8y + 5x) = 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 '(-3 + -8y + 5x)' equal to zero and attempt to solve: Simplifying -3 + -8y + 5x = 0 Reorder the terms: -3 + 5x + -8y = 0 Solving -3 + 5x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5x + 3 + -8y = 0 + 3 Reorder the terms: -3 + 3 + 5x + -8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + -8y = 0 + 3 5x + -8y = 0 + 3 Combine like terms: 0 + 3 = 3 5x + -8y = 3 Add '8y' to each side of the equation. 5x + -8y + 8y = 3 + 8y Combine like terms: -8y + 8y = 0 5x + 0 = 3 + 8y 5x = 3 + 8y Divide each side by '5'. x = 0.6 + 1.6y Simplifying x = 0.6 + 1.6ySolution
x = {0, 0.6 + 1.6y}
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