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Simplifying 2xh(x + h) = 0 Reorder the terms: 2hx(h + x) = 0 (h * 2hx + x * 2hx) = 0 Reorder the terms: (2hx2 + 2h2x) = 0 (2hx2 + 2h2x) = 0 Solving 2hx2 + 2h2x = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2hx'. 2hx(x + h) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'hx' equal to zero and attempt to solve: Simplifying hx = 0 Solving hx = 0 Move all terms containing h to the left, all other terms to the right. Simplifying hx = 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 '(x + h)' equal to zero and attempt to solve: Simplifying x + h = 0 Reorder the terms: h + x = 0 Solving h + x = 0 Move all terms containing h to the left, all other terms to the right. Add '-1x' to each side of the equation. h + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 h + 0 = 0 + -1x h = 0 + -1x Remove the zero: h = -1x Simplifying h = -1xSolution
h = {-1x}
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