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Simplifying 25x2 + -32x + 7 = 0 Reorder the terms: 7 + -32x + 25x2 = 0 Solving 7 + -32x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -25x)(1 + -1x) = 0Subproblem 1
Set the factor '(7 + -25x)' equal to zero and attempt to solve: Simplifying 7 + -25x = 0 Solving 7 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -25x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -25x = 0 + -7 -25x = 0 + -7 Combine like terms: 0 + -7 = -7 -25x = -7 Divide each side by '-25'. x = 0.28 Simplifying x = 0.28Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.28, 1}
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