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Simplifying 16x2 + 40x + 25 = 9 Reorder the terms: 25 + 40x + 16x2 = 9 Solving 25 + 40x + 16x2 = 9 Solving for variable 'x'. Reorder the terms: 25 + -9 + 40x + 16x2 = 9 + -9 Combine like terms: 25 + -9 = 16 16 + 40x + 16x2 = 9 + -9 Combine like terms: 9 + -9 = 0 16 + 40x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(2 + 5x + 2x2) = 0 Factor a trinomial. 8((2 + x)(1 + 2x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-2, -0.5}
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