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Simplifying 15 = 2x2 + 5x + -3 Reorder the terms: 15 = -3 + 5x + 2x2 Solving 15 = -3 + 5x + 2x2 Solving for variable 'x'. Combine like terms: 15 + 3 = 18 18 + -5x + -2x2 = -3 + 5x + 2x2 + 3 + -5x + -2x2 Reorder the terms: 18 + -5x + -2x2 = -3 + 3 + 5x + -5x + 2x2 + -2x2 Combine like terms: -3 + 3 = 0 18 + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2 18 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2 Combine like terms: 5x + -5x = 0 18 + -5x + -2x2 = 0 + 2x2 + -2x2 18 + -5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + -5x + -2x2 = 0 Factor a trinomial. (2 + -1x)(9 + 2x) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {2, -4.5}
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