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Simplifying 16x2 + -58x + 25 = 0 Reorder the terms: 25 + -58x + 16x2 = 0 Solving 25 + -58x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(25 + -8x) = 0Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(25 + -8x)' equal to zero and attempt to solve: Simplifying 25 + -8x = 0 Solving 25 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -8x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = 0 + -25 -8x = 0 + -25 Combine like terms: 0 + -25 = -25 -8x = -25 Divide each side by '-8'. x = 3.125 Simplifying x = 3.125Solution
x = {0.5, 3.125}
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