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Simplifying x2 + -10x + -9776 = 0 Reorder the terms: -9776 + -10x + x2 = 0 Solving -9776 + -10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-94 + -1x)(104 + -1x) = 0Subproblem 1
Set the factor '(-94 + -1x)' equal to zero and attempt to solve: Simplifying -94 + -1x = 0 Solving -94 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + -1x = 0 + 94 Combine like terms: -94 + 94 = 0 0 + -1x = 0 + 94 -1x = 0 + 94 Combine like terms: 0 + 94 = 94 -1x = 94 Divide each side by '-1'. x = -94 Simplifying x = -94Subproblem 2
Set the factor '(104 + -1x)' equal to zero and attempt to solve: Simplifying 104 + -1x = 0 Solving 104 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -1x = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -1x = 0 + -104 -1x = 0 + -104 Combine like terms: 0 + -104 = -104 -1x = -104 Divide each side by '-1'. x = 104 Simplifying x = 104Solution
x = {-94, 104}
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