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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. (3 + -2x)(13 + -2x) = 0Subproblem 1
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 = 1.5Subproblem 2
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 = 6.5Solution
x = {1.5, 6.5}
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