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Simplifying x * x + -4x + 3x + -2 = 28 Multiply x * x x2 + -4x + 3x + -2 = 28 Reorder the terms: -2 + -4x + 3x + x2 = 28 Combine like terms: -4x + 3x = -1x -2 + -1x + x2 = 28 Solving -2 + -1x + x2 = 28 Solving for variable 'x'. Reorder the terms: -2 + -28 + -1x + x2 = 28 + -28 Combine like terms: -2 + -28 = -30 -30 + -1x + x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -30 + -1x + x2 = 0 Factor a trinomial. (-5 + -1x)(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-5, 6}
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