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Simplifying H(2h + 1)(h + -4) = 0 Reorder the terms: H(1 + 2h)(h + -4) = 0 Reorder the terms: H(1 + 2h)(-4 + h) = 0 Multiply (1 + 2h) * (-4 + h) H(1(-4 + h) + 2h * (-4 + h)) = 0 H((-4 * 1 + h * 1) + 2h * (-4 + h)) = 0 H((-4 + 1h) + 2h * (-4 + h)) = 0 H(-4 + 1h + (-4 * 2h + h * 2h)) = 0 H(-4 + 1h + (-8h + 2h2)) = 0 Combine like terms: 1h + -8h = -7h H(-4 + -7h + 2h2) = 0 (-4 * H + -7h * H + 2h2 * H) = 0 (-4H + -7hH + 2h2H) = 0 Solving -4H + -7hH + 2h2H = 0 Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'H'. H(-4 + -7h + 2h2) = 0 Factor a trinomial. H((-1 + -2h)(4 + -1h)) = 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 '(-1 + -2h)' equal to zero and attempt to solve: Simplifying -1 + -2h = 0 Solving -1 + -2h = 0 Move all terms containing H to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2h = 0 + 1 -2h = 0 + 1 Combine like terms: 0 + 1 = 1 -2h = 1 Add '2h' to each side of the equation. -2h + 2h = 1 + 2h Combine like terms: -2h + 2h = 0 0 = 1 + 2h Simplifying 0 = 1 + 2h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 0 Move all terms containing H to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Add 'h' to each side of the equation. -1h + h = -4 + h Combine like terms: -1h + h = 0 0 = -4 + h Simplifying 0 = -4 + h 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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