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Simplifying 8x3 + 8xy2 + -50x = 0 Reorder the terms: -50x + 8xy2 + 8x3 = 0 Solving -50x + 8xy2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-25 + 4y2 + 4x2) = 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 '(-25 + 4y2 + 4x2)' equal to zero and attempt to solve: Simplifying -25 + 4y2 + 4x2 = 0 Reorder the terms: -25 + 4x2 + 4y2 = 0 Solving -25 + 4x2 + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 4x2 + 25 + 4y2 = 0 + 25 Reorder the terms: -25 + 25 + 4x2 + 4y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4x2 + 4y2 = 0 + 25 4x2 + 4y2 = 0 + 25 Combine like terms: 0 + 25 = 25 4x2 + 4y2 = 25 Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 25 + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 25 + -4y2 4x2 = 25 + -4y2 Divide each side by '4'. x2 = 6.25 + -1y2 Simplifying x2 = 6.25 + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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