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Simplifying 16x2 + -18x + 24xy = 0 Reorder the terms: -18x + 24xy + 16x2 = 0 Solving -18x + 24xy + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9 + 12y + 8x) = 0 Ignore the factor 2.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 '(-9 + 12y + 8x)' equal to zero and attempt to solve: Simplifying -9 + 12y + 8x = 0 Reorder the terms: -9 + 8x + 12y = 0 Solving -9 + 8x + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 8x + 9 + 12y = 0 + 9 Reorder the terms: -9 + 9 + 8x + 12y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8x + 12y = 0 + 9 8x + 12y = 0 + 9 Combine like terms: 0 + 9 = 9 8x + 12y = 9 Add '-12y' to each side of the equation. 8x + 12y + -12y = 9 + -12y Combine like terms: 12y + -12y = 0 8x + 0 = 9 + -12y 8x = 9 + -12y Divide each side by '8'. x = 1.125 + -1.5y Simplifying x = 1.125 + -1.5ySolution
x = {0, 1.125 + -1.5y}
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