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Simplifying 28 = (2x + -1) * x Reorder the terms: 28 = (-1 + 2x) * x Reorder the terms for easier multiplication: 28 = x(-1 + 2x) 28 = (-1 * x + 2x * x) 28 = (-1x + 2x2) Solving 28 = -1x + 2x2 Solving for variable 'x'. Reorder the terms: 28 + x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 28 + x + -2x2 = 0 + 2x2 + -2x2 28 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 28 + x + -2x2 = 0 Factor a trinomial. (4 + -1x)(7 + 2x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
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 = -3.5Solution
x = {4, -3.5}
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