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Simplifying 3x2 + -5x + 13 = 15 Reorder the terms: 13 + -5x + 3x2 = 15 Solving 13 + -5x + 3x2 = 15 Solving for variable 'x'. Reorder the terms: 13 + -15 + -5x + 3x2 = 15 + -15 Combine like terms: 13 + -15 = -2 -2 + -5x + 3x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -2 + -5x + 3x2 = 0 Factor a trinomial. (-1 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.3333333333, 2}
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