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Simplifying x2 + 16x + 5 = 6x + -4 Reorder the terms: 5 + 16x + x2 = 6x + -4 Reorder the terms: 5 + 16x + x2 = -4 + 6x Solving 5 + 16x + x2 = -4 + 6x Solving for variable 'x'. Reorder the terms: 5 + 4 + 16x + -6x + x2 = -4 + 6x + 4 + -6x Combine like terms: 5 + 4 = 9 9 + 16x + -6x + x2 = -4 + 6x + 4 + -6x Combine like terms: 16x + -6x = 10x 9 + 10x + x2 = -4 + 6x + 4 + -6x Reorder the terms: 9 + 10x + x2 = -4 + 4 + 6x + -6x Combine like terms: -4 + 4 = 0 9 + 10x + x2 = 0 + 6x + -6x 9 + 10x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 9 + 10x + x2 = 0 Factor a trinomial. (9 + x)(1 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-9, -1}
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