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Simplifying 10x3 * y + -12x2 * 2y2 = 0 Multiply x3 * y 10x3y + -12x2 * 2y2 = 0 Reorder the terms for easier multiplication: 10x3y + -12 * 2x2 * y2 = 0 Multiply -12 * 2 10x3y + -24x2 * y2 = 0 Multiply x2 * y2 10x3y + -24x2y2 = 0 Reorder the terms: -24x2y2 + 10x3y = 0 Solving -24x2y2 + 10x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y'. 2x2y(-12y + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-12y + 5x)' equal to zero and attempt to solve: Simplifying -12y + 5x = 0 Reorder the terms: 5x + -12y = 0 Solving 5x + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 5x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 5x + 0 = 0 + 12y 5x = 0 + 12y Remove the zero: 5x = 12y Divide each side by '5'. x = 2.4y Simplifying x = 2.4ySolution
x = {2.4y}
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