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Simplifying 8x2 + -30xy2 = 0 Reorder the terms: -30xy2 + 8x2 = 0 Solving -30xy2 + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-15y2 + 4x) = 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 '(-15y2 + 4x)' equal to zero and attempt to solve: Simplifying -15y2 + 4x = 0 Reorder the terms: 4x + -15y2 = 0 Solving 4x + -15y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15y2' to each side of the equation. 4x + -15y2 + 15y2 = 0 + 15y2 Combine like terms: -15y2 + 15y2 = 0 4x + 0 = 0 + 15y2 4x = 0 + 15y2 Remove the zero: 4x = 15y2 Divide each side by '4'. x = 3.75y2 Simplifying x = 3.75y2Solution
x = {0, 3.75y2}
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