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Simplifying -2x2 + 65x + -450 = 0 Reorder the terms: -450 + 65x + -2x2 = 0 Solving -450 + 65x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-45 + 2x)(10 + -1x) = 0Subproblem 1
Set the factor '(-45 + 2x)' equal to zero and attempt to solve: Simplifying -45 + 2x = 0 Solving -45 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 2x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = 0 + 45 2x = 0 + 45 Combine like terms: 0 + 45 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {22.5, 10}
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