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Simplifying 50x + -8x3 + -8xy2 = 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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