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Simplifying 0 = 2x2 + 7x + -15 Reorder the terms: 0 = -15 + 7x + 2x2 Solving 0 = -15 + 7x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 15 = 15 15 + -7x + -2x2 = -15 + 7x + 2x2 + 15 + -7x + -2x2 Reorder the terms: 15 + -7x + -2x2 = -15 + 15 + 7x + -7x + 2x2 + -2x2 Combine like terms: -15 + 15 = 0 15 + -7x + -2x2 = 0 + 7x + -7x + 2x2 + -2x2 15 + -7x + -2x2 = 7x + -7x + 2x2 + -2x2 Combine like terms: 7x + -7x = 0 15 + -7x + -2x2 = 0 + 2x2 + -2x2 15 + -7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 15 + -7x + -2x2 = 0 Factor a trinomial. (3 + -2x)(5 + x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1.5, -5}
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