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Simplifying (x + -2)(2x + 1) = 33 Reorder the terms: (-2 + x)(2x + 1) = 33 Reorder the terms: (-2 + x)(1 + 2x) = 33 Multiply (-2 + x) * (1 + 2x) (-2(1 + 2x) + x(1 + 2x)) = 33 ((1 * -2 + 2x * -2) + x(1 + 2x)) = 33 ((-2 + -4x) + x(1 + 2x)) = 33 (-2 + -4x + (1 * x + 2x * x)) = 33 (-2 + -4x + (1x + 2x2)) = 33 Combine like terms: -4x + 1x = -3x (-2 + -3x + 2x2) = 33 Solving -2 + -3x + 2x2 = 33 Solving for variable 'x'. Reorder the terms: -2 + -33 + -3x + 2x2 = 33 + -33 Combine like terms: -2 + -33 = -35 -35 + -3x + 2x2 = 33 + -33 Combine like terms: 33 + -33 = 0 -35 + -3x + 2x2 = 0 Factor a trinomial. (-7 + -2x)(5 + -1x) = 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 '(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 = 5Solution
x = {-3.5, 5}
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