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Simplifying (x + 4)(2x + -1) = 11 Reorder the terms: (4 + x)(2x + -1) = 11 Reorder the terms: (4 + x)(-1 + 2x) = 11 Multiply (4 + x) * (-1 + 2x) (4(-1 + 2x) + x(-1 + 2x)) = 11 ((-1 * 4 + 2x * 4) + x(-1 + 2x)) = 11 ((-4 + 8x) + x(-1 + 2x)) = 11 (-4 + 8x + (-1 * x + 2x * x)) = 11 (-4 + 8x + (-1x + 2x2)) = 11 Combine like terms: 8x + -1x = 7x (-4 + 7x + 2x2) = 11 Solving -4 + 7x + 2x2 = 11 Solving for variable 'x'. Reorder the terms: -4 + -11 + 7x + 2x2 = 11 + -11 Combine like terms: -4 + -11 = -15 -15 + 7x + 2x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -15 + 7x + 2x2 = 0 Factor a trinomial. (-5 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
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 = 1.5Solution
x = {-5, 1.5}
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