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Simplifying 100x3 + -64y2x = 0 Reorder the terms: -64xy2 + 100x3 = 0 Solving -64xy2 + 100x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-16y2 + 25x2) = 0 Factor a difference between two squares. 4x((4y + 5x)(-4y + 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 '(4y + 5x)' equal to zero and attempt to solve: Simplifying 4y + 5x = 0 Reorder the terms: 5x + 4y = 0 Solving 5x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 5x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 5x + 0 = 0 + -4y 5x = 0 + -4y Remove the zero: 5x = -4y Divide each side by '5'. x = -0.8y Simplifying x = -0.8ySubproblem 3
Set the factor '(-4y + 5x)' equal to zero and attempt to solve: Simplifying -4y + 5x = 0 Reorder the terms: 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySolution
x = {0, -0.8y, 0.8y}
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