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Simplifying 550 = (x)(x + -3) Reorder the terms: 550 = x(-3 + x) 550 = (-3 * x + x * x) 550 = (-3x + x2) Solving 550 = -3x + x2 Solving for variable 'x'. Reorder the terms: 550 + 3x + -1x2 = -3x + 3x + x2 + -1x2 Combine like terms: -3x + 3x = 0 550 + 3x + -1x2 = 0 + x2 + -1x2 550 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 550 + 3x + -1x2 = 0 Factor a trinomial. (25 + -1x)(22 + 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 '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Solution
x = {25, -22}
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