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Simplifying x2 + 13x + 30 = 450 Reorder the terms: 30 + 13x + x2 = 450 Solving 30 + 13x + x2 = 450 Solving for variable 'x'. Reorder the terms: 30 + -450 + 13x + x2 = 450 + -450 Combine like terms: 30 + -450 = -420 -420 + 13x + x2 = 450 + -450 Combine like terms: 450 + -450 = 0 -420 + 13x + x2 = 0 Factor a trinomial. (-28 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve: Simplifying -28 + -1x = 0 Solving -28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = 0 + 28 -1x = 0 + 28 Combine like terms: 0 + 28 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-28, 15}
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