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Simplifying x2 + 10x + 40 = 3x + 28 Reorder the terms: 40 + 10x + x2 = 3x + 28 Reorder the terms: 40 + 10x + x2 = 28 + 3x Solving 40 + 10x + x2 = 28 + 3x Solving for variable 'x'. Reorder the terms: 40 + -28 + 10x + -3x + x2 = 28 + 3x + -28 + -3x Combine like terms: 40 + -28 = 12 12 + 10x + -3x + x2 = 28 + 3x + -28 + -3x Combine like terms: 10x + -3x = 7x 12 + 7x + x2 = 28 + 3x + -28 + -3x Reorder the terms: 12 + 7x + x2 = 28 + -28 + 3x + -3x Combine like terms: 28 + -28 = 0 12 + 7x + x2 = 0 + 3x + -3x 12 + 7x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 12 + 7x + x2 = 0 Factor a trinomial. (4 + x)(3 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-4, -3}
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