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Simplifying h(0) = 2x2 + -11x + 15 Reorder the terms for easier multiplication: 0h = 2x2 + -11x + 15 Anything times zero is zero. 0h = 2x2 + -11x + 15 Reorder the terms: 0 = 15 + -11x + 2x2 Solving 0 = 15 + -11x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -15 = -15 -15 + 11x + -2x2 = 15 + -11x + 2x2 + -15 + 11x + -2x2 Reorder the terms: -15 + 11x + -2x2 = 15 + -15 + -11x + 11x + 2x2 + -2x2 Combine like terms: 15 + -15 = 0 -15 + 11x + -2x2 = 0 + -11x + 11x + 2x2 + -2x2 -15 + 11x + -2x2 = -11x + 11x + 2x2 + -2x2 Combine like terms: -11x + 11x = 0 -15 + 11x + -2x2 = 0 + 2x2 + -2x2 -15 + 11x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + 11x + -2x2 = 0 Factor a trinomial. (-3 + x)(5 + -2x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {3, 2.5}
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