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Simplifying (-1h + 1)(-11 + -1h) = 0 Reorder the terms: (1 + -1h)(-11 + -1h) = 0 Multiply (1 + -1h) * (-11 + -1h) (1(-11 + -1h) + -1h * (-11 + -1h)) = 0 ((-11 * 1 + -1h * 1) + -1h * (-11 + -1h)) = 0 ((-11 + -1h) + -1h * (-11 + -1h)) = 0 (-11 + -1h + (-11 * -1h + -1h * -1h)) = 0 (-11 + -1h + (11h + 1h2)) = 0 Combine like terms: -1h + 11h = 10h (-11 + 10h + 1h2) = 0 Solving -11 + 10h + 1h2 = 0 Solving for variable 'h'. Factor a trinomial. (-11 + -1h)(1 + -1h) = 0Subproblem 1
Set the factor '(-11 + -1h)' equal to zero and attempt to solve: Simplifying -11 + -1h = 0 Solving -11 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1h = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1h = 0 + 11 -1h = 0 + 11 Combine like terms: 0 + 11 = 11 -1h = 11 Divide each side by '-1'. h = -11 Simplifying h = -11Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Solution
h = {-11, 1}
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