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Simplifying (2x + -1)(x + 3) = -5 Reorder the terms: (-1 + 2x)(x + 3) = -5 Reorder the terms: (-1 + 2x)(3 + x) = -5 Multiply (-1 + 2x) * (3 + x) (-1(3 + x) + 2x * (3 + x)) = -5 ((3 * -1 + x * -1) + 2x * (3 + x)) = -5 ((-3 + -1x) + 2x * (3 + x)) = -5 (-3 + -1x + (3 * 2x + x * 2x)) = -5 (-3 + -1x + (6x + 2x2)) = -5 Combine like terms: -1x + 6x = 5x (-3 + 5x + 2x2) = -5 Solving -3 + 5x + 2x2 = -5 Solving for variable 'x'. Reorder the terms: -3 + 5 + 5x + 2x2 = -5 + 5 Combine like terms: -3 + 5 = 2 2 + 5x + 2x2 = -5 + 5 Combine like terms: -5 + 5 = 0 2 + 5x + 2x2 = 0 Factor a trinomial. (2 + x)(1 + 2x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-2, -0.5}
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