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Simplifying (x)(8x2 + y2 + 1) = 0 Reorder the terms: x(1 + 8x2 + y2) = 0 (1 * x + 8x2 * x + y2 * x) = 0 Reorder the terms: (1x + xy2 + 8x3) = 0 (1x + xy2 + 8x3) = 0 Solving 1x + xy2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + y2 + 8x2) = 0Subproblem 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 '(1 + y2 + 8x2)' equal to zero and attempt to solve: Simplifying 1 + y2 + 8x2 = 0 Reorder the terms: 1 + 8x2 + y2 = 0 Solving 1 + 8x2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8x2 + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 8x2 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x2 + y2 = 0 + -1 8x2 + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 8x2 + y2 = -1 Add '-1y2' to each side of the equation. 8x2 + y2 + -1y2 = -1 + -1y2 Combine like terms: y2 + -1y2 = 0 8x2 + 0 = -1 + -1y2 8x2 = -1 + -1y2 Divide each side by '8'. x2 = -0.125 + -0.125y2 Simplifying x2 = -0.125 + -0.125y2 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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