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Simplifying x2 + -3x + -596 = 104 Reorder the terms: -596 + -3x + x2 = 104 Solving -596 + -3x + x2 = 104 Solving for variable 'x'. Reorder the terms: -596 + -104 + -3x + x2 = 104 + -104 Combine like terms: -596 + -104 = -700 -700 + -3x + x2 = 104 + -104 Combine like terms: 104 + -104 = 0 -700 + -3x + x2 = 0 Factor a trinomial. (-25 + -1x)(28 + -1x) = 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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-25, 28}
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