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Simplifying 16x2 + -40x + 25 = 64 Reorder the terms: 25 + -40x + 16x2 = 64 Solving 25 + -40x + 16x2 = 64 Solving for variable 'x'. Reorder the terms: 25 + -64 + -40x + 16x2 = 64 + -64 Combine like terms: 25 + -64 = -39 -39 + -40x + 16x2 = 64 + -64 Combine like terms: 64 + -64 = 0 -39 + -40x + 16x2 = 0 Factor a trinomial. (-3 + -4x)(13 + -4x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 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 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25Solution
x = {-0.75, 3.25}
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