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Simplifying xy2 + xz2 = 0 Solving xy2 + xz2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(y2 + z2) = 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 '(y2 + z2)' equal to zero and attempt to solve: Simplifying y2 + z2 = 0 Solving y2 + z2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 + z2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 0 + z2 = 0 + -1y2 z2 = 0 + -1y2 Remove the zero: z2 = -1y2 Add '-1z2' to each side of the equation. z2 + -1z2 = -1y2 + -1z2 Combine like terms: z2 + -1z2 = 0 0 = -1y2 + -1z2 Simplifying 0 = -1y2 + -1z2 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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