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Simplifying 448x4 + -175x2y2 = 0 Reorder the terms: -175x2y2 + 448x4 = 0 Solving -175x2y2 + 448x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2'. 7x2(-25y2 + 64x2) = 0 Factor a difference between two squares. 7x2((5y + 8x)(-5y + 8x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(5y + 8x)' equal to zero and attempt to solve: Simplifying 5y + 8x = 0 Reorder the terms: 8x + 5y = 0 Solving 8x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 8x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 8x + 0 = 0 + -5y 8x = 0 + -5y Remove the zero: 8x = -5y Divide each side by '8'. x = -0.625y Simplifying x = -0.625ySubproblem 3
Set the factor '(-5y + 8x)' equal to zero and attempt to solve: Simplifying -5y + 8x = 0 Reorder the terms: 8x + -5y = 0 Solving 8x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 8x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 8x + 0 = 0 + 5y 8x = 0 + 5y Remove the zero: 8x = 5y Divide each side by '8'. x = 0.625y Simplifying x = 0.625ySolution
x = {0, -0.625y, 0.625y}
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