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Simplifying x2 + 19x + 28 = 7x + -4 Reorder the terms: 28 + 19x + x2 = 7x + -4 Reorder the terms: 28 + 19x + x2 = -4 + 7x Solving 28 + 19x + x2 = -4 + 7x Solving for variable 'x'. Reorder the terms: 28 + 4 + 19x + -7x + x2 = -4 + 7x + 4 + -7x Combine like terms: 28 + 4 = 32 32 + 19x + -7x + x2 = -4 + 7x + 4 + -7x Combine like terms: 19x + -7x = 12x 32 + 12x + x2 = -4 + 7x + 4 + -7x Reorder the terms: 32 + 12x + x2 = -4 + 4 + 7x + -7x Combine like terms: -4 + 4 = 0 32 + 12x + x2 = 0 + 7x + -7x 32 + 12x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 32 + 12x + x2 = 0 Factor a trinomial. (8 + x)(4 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
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 = -4Solution
x = {-8, -4}
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