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Simplifying x2 + -10x + -28 = -3x + 2 Reorder the terms: -28 + -10x + x2 = -3x + 2 Reorder the terms: -28 + -10x + x2 = 2 + -3x Solving -28 + -10x + x2 = 2 + -3x Solving for variable 'x'. Reorder the terms: -28 + -2 + -10x + 3x + x2 = 2 + -3x + -2 + 3x Combine like terms: -28 + -2 = -30 -30 + -10x + 3x + x2 = 2 + -3x + -2 + 3x Combine like terms: -10x + 3x = -7x -30 + -7x + x2 = 2 + -3x + -2 + 3x Reorder the terms: -30 + -7x + x2 = 2 + -2 + -3x + 3x Combine like terms: 2 + -2 = 0 -30 + -7x + x2 = 0 + -3x + 3x -30 + -7x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -7x + x2 = 0 Factor a trinomial. (-3 + -1x)(10 + -1x) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-3, 10}
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