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Simplifying x2yz2 + -1(-1xyz2 + -1x2yz2) = 0 x2yz2 + (-1xyz2 * -1 + -1x2yz2 * -1) = 0 x2yz2 + (1xyz2 + 1x2yz2) = 0 Reorder the terms: 1xyz2 + x2yz2 + 1x2yz2 = 0 Combine like terms: x2yz2 + 1x2yz2 = 2x2yz2 1xyz2 + 2x2yz2 = 0 Solving 1xyz2 + 2x2yz2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xyz2'. xyz2(1 + 2x) = 0Subproblem 1
Set the factor 'xyz2' equal to zero and attempt to solve: Simplifying xyz2 = 0 Solving xyz2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.5}
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