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Simplifying (h + 2)(3h + h + -7) = 0 Reorder the terms: (2 + h)(3h + h + -7) = 0 Reorder the terms: (2 + h)(-7 + 3h + h) = 0 Combine like terms: 3h + h = 4h (2 + h)(-7 + 4h) = 0 Multiply (2 + h) * (-7 + 4h) (2(-7 + 4h) + h(-7 + 4h)) = 0 ((-7 * 2 + 4h * 2) + h(-7 + 4h)) = 0 ((-14 + 8h) + h(-7 + 4h)) = 0 (-14 + 8h + (-7 * h + 4h * h)) = 0 (-14 + 8h + (-7h + 4h2)) = 0 Combine like terms: 8h + -7h = 1h (-14 + 1h + 4h2) = 0 Solving -14 + 1h + 4h2 = 0 Solving for variable 'h'. Factor a trinomial. (-2 + -1h)(7 + -4h) = 0Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve: Simplifying -2 + -1h = 0 Solving -2 + -1h = 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 + -1h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1h = 0 + 2 -1h = 0 + 2 Combine like terms: 0 + 2 = 2 -1h = 2 Divide each side by '-1'. h = -2 Simplifying h = -2Subproblem 2
Set the factor '(7 + -4h)' equal to zero and attempt to solve: Simplifying 7 + -4h = 0 Solving 7 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4h = 0 + -7 -4h = 0 + -7 Combine like terms: 0 + -7 = -7 -4h = -7 Divide each side by '-4'. h = 1.75 Simplifying h = 1.75Solution
h = {-2, 1.75}
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