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Simplifying 4x2 + 36x = 4x * h Reorder the terms: 36x + 4x2 = 4x * h Multiply x * h 36x + 4x2 = 4hx Solving 36x + 4x2 = 4hx Solving for variable 'x'. Reorder the terms: -4hx + 36x + 4x2 = 4hx + -4hx Combine like terms: 4hx + -4hx = 0 -4hx + 36x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1h + 9 + x) = 0 Ignore the factor 4.Subproblem 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 '(-1h + 9 + x)' equal to zero and attempt to solve: Simplifying -1h + 9 + x = 0 Reorder the terms: 9 + -1h + x = 0 Solving 9 + -1h + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1h + -9 + x = 0 + -9 Reorder the terms: 9 + -9 + -1h + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1h + x = 0 + -9 -1h + x = 0 + -9 Combine like terms: 0 + -9 = -9 -1h + x = -9 Add 'h' to each side of the equation. -1h + h + x = -9 + h Combine like terms: -1h + h = 0 0 + x = -9 + h x = -9 + h Simplifying x = -9 + hSolution
x = {0, -9 + h}
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