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