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Simplifying (2x + 1)(3 + -1x) = -4 Reorder the terms: (1 + 2x)(3 + -1x) = -4 Multiply (1 + 2x) * (3 + -1x) (1(3 + -1x) + 2x * (3 + -1x)) = -4 ((3 * 1 + -1x * 1) + 2x * (3 + -1x)) = -4 ((3 + -1x) + 2x * (3 + -1x)) = -4 (3 + -1x + (3 * 2x + -1x * 2x)) = -4 (3 + -1x + (6x + -2x2)) = -4 Combine like terms: -1x + 6x = 5x (3 + 5x + -2x2) = -4 Solving 3 + 5x + -2x2 = -4 Solving for variable 'x'. Reorder the terms: 3 + 4 + 5x + -2x2 = -4 + 4 Combine like terms: 3 + 4 = 7 7 + 5x + -2x2 = -4 + 4 Combine like terms: -4 + 4 = 0 7 + 5x + -2x2 = 0 Factor a trinomial. (7 + -2x)(1 + x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {3.5, -1}
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