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Simplifying (2x + -1)(x + 4) = -7 Reorder the terms: (-1 + 2x)(x + 4) = -7 Reorder the terms: (-1 + 2x)(4 + x) = -7 Multiply (-1 + 2x) * (4 + x) (-1(4 + x) + 2x * (4 + x)) = -7 ((4 * -1 + x * -1) + 2x * (4 + x)) = -7 ((-4 + -1x) + 2x * (4 + x)) = -7 (-4 + -1x + (4 * 2x + x * 2x)) = -7 (-4 + -1x + (8x + 2x2)) = -7 Combine like terms: -1x + 8x = 7x (-4 + 7x + 2x2) = -7 Solving -4 + 7x + 2x2 = -7 Solving for variable 'x'. Reorder the terms: -4 + 7 + 7x + 2x2 = -7 + 7 Combine like terms: -4 + 7 = 3 3 + 7x + 2x2 = -7 + 7 Combine like terms: -7 + 7 = 0 3 + 7x + 2x2 = 0 Factor a trinomial. (3 + x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 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 = {-3, -0.5}
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