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Simplifying (2x + -1)(x + 3) = 30 Reorder the terms: (-1 + 2x)(x + 3) = 30 Reorder the terms: (-1 + 2x)(3 + x) = 30 Multiply (-1 + 2x) * (3 + x) (-1(3 + x) + 2x * (3 + x)) = 30 ((3 * -1 + x * -1) + 2x * (3 + x)) = 30 ((-3 + -1x) + 2x * (3 + x)) = 30 (-3 + -1x + (3 * 2x + x * 2x)) = 30 (-3 + -1x + (6x + 2x2)) = 30 Combine like terms: -1x + 6x = 5x (-3 + 5x + 2x2) = 30 Solving -3 + 5x + 2x2 = 30 Solving for variable 'x'. Reorder the terms: -3 + -30 + 5x + 2x2 = 30 + -30 Combine like terms: -3 + -30 = -33 -33 + 5x + 2x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -33 + 5x + 2x2 = 0 Factor a trinomial. (-11 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-5.5, 3}
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