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Simplifying 0 = x2 + 24x + -25 Reorder the terms: 0 = -25 + 24x + x2 Solving 0 = -25 + 24x + x2 Solving for variable 'x'. Combine like terms: 0 + 25 = 25 25 + -24x + -1x2 = -25 + 24x + x2 + 25 + -24x + -1x2 Reorder the terms: 25 + -24x + -1x2 = -25 + 25 + 24x + -24x + x2 + -1x2 Combine like terms: -25 + 25 = 0 25 + -24x + -1x2 = 0 + 24x + -24x + x2 + -1x2 25 + -24x + -1x2 = 24x + -24x + x2 + -1x2 Combine like terms: 24x + -24x = 0 25 + -24x + -1x2 = 0 + x2 + -1x2 25 + -24x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + -24x + -1x2 = 0 Factor a trinomial. (1 + -1x)(25 + x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 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 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {1, -25}
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