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Simplifying 2x2 = 13x + 45 Reorder the terms: 2x2 = 45 + 13x Solving 2x2 = 45 + 13x Solving for variable 'x'. Reorder the terms: -45 + -13x + 2x2 = 45 + 13x + -45 + -13x Reorder the terms: -45 + -13x + 2x2 = 45 + -45 + 13x + -13x Combine like terms: 45 + -45 = 0 -45 + -13x + 2x2 = 0 + 13x + -13x -45 + -13x + 2x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -45 + -13x + 2x2 = 0 Factor a trinomial. (-5 + -2x)(9 + -1x) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-2.5, 9}
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