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Simplifying -4x2 + 29x + -25 = 0 Reorder the terms: -25 + 29x + -4x2 = 0 Solving -25 + 29x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + 4x)(1 + -1x) = 0Subproblem 1
Set the factor '(-25 + 4x)' equal to zero and attempt to solve: Simplifying -25 + 4x = 0 Solving -25 + 4x = 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 + 4x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = 0 + 25 4x = 0 + 25 Combine like terms: 0 + 25 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25Subproblem 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 = {6.25, 1}
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