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Simplifying 0 = x2 + -4x + -525 Reorder the terms: 0 = -525 + -4x + x2 Solving 0 = -525 + -4x + x2 Solving for variable 'x'. Combine like terms: 0 + 525 = 525 525 + 4x + -1x2 = -525 + -4x + x2 + 525 + 4x + -1x2 Reorder the terms: 525 + 4x + -1x2 = -525 + 525 + -4x + 4x + x2 + -1x2 Combine like terms: -525 + 525 = 0 525 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2 525 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 525 + 4x + -1x2 = 0 + x2 + -1x2 525 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 525 + 4x + -1x2 = 0 Factor a trinomial. (25 + -1x)(21 + x) = 0Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Solution
x = {25, -21}
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