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Simplifying (4x2) + 32x + 64 = 25 Reorder the terms: 64 + 32x + (4x2) = 25 Solving 64 + 32x + (4x2) = 25 Solving for variable 'x'. Reorder the terms: 64 + -25 + 32x + (4x2) = 25 + -25 Combine like terms: 64 + -25 = 39 39 + 32x + (4x2) = 25 + -25 Combine like terms: 25 + -25 = 0 39 + 32x + (4x2) = 0 Factor a trinomial. (13 + 2x)(3 + 2x) = 0Subproblem 1
Set the factor '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-6.5, -1.5}
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