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Simplifying 16x2 + 40x + 16 = (-9) Reorder the terms: 16 + 40x + 16x2 = (-9) 16 + 40x + 16x2 = -9 Solving 16 + 40x + 16x2 = -9 Solving for variable 'x'. Reorder the terms: 16 + 9 + 40x + 16x2 = -9 + 9 Combine like terms: 16 + 9 = 25 25 + 40x + 16x2 = -9 + 9 Combine like terms: -9 + 9 = 0 25 + 40x + 16x2 = 0 Factor a trinomial. (5 + 4x)(5 + 4x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-1.25, -1.25}
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