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Simplifying h(7h + -2)(h + 6) = 0 Reorder the terms: h(-2 + 7h)(h + 6) = 0 Reorder the terms: h(-2 + 7h)(6 + h) = 0 Multiply (-2 + 7h) * (6 + h) h(-2(6 + h) + 7h * (6 + h)) = 0 h((6 * -2 + h * -2) + 7h * (6 + h)) = 0 h((-12 + -2h) + 7h * (6 + h)) = 0 h(-12 + -2h + (6 * 7h + h * 7h)) = 0 h(-12 + -2h + (42h + 7h2)) = 0 Combine like terms: -2h + 42h = 40h h(-12 + 40h + 7h2) = 0 (-12 * h + 40h * h + 7h2 * h) = 0 (-12h + 40h2 + 7h3) = 0 Solving -12h + 40h2 + 7h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-12 + 40h + 7h2) = 0 Factor a trinomial. h((-6 + -1h)(2 + -7h)) = 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 '(-6 + -1h)' equal to zero and attempt to solve: Simplifying -6 + -1h = 0 Solving -6 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1h = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1h = 0 + 6 -1h = 0 + 6 Combine like terms: 0 + 6 = 6 -1h = 6 Divide each side by '-1'. h = -6 Simplifying h = -6Subproblem 3
Set the factor '(2 + -7h)' equal to zero and attempt to solve: Simplifying 2 + -7h = 0 Solving 2 + -7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7h = 0 + -2 -7h = 0 + -2 Combine like terms: 0 + -2 = -2 -7h = -2 Divide each side by '-7'. h = 0.2857142857 Simplifying h = 0.2857142857Solution
h = {0, -6, 0.2857142857}
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