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Simplifying 8850 = x2 + -8x + 30 Reorder the terms: 8850 = 30 + -8x + x2 Solving 8850 = 30 + -8x + x2 Solving for variable 'x'. Combine like terms: 8850 + -30 = 8820 8820 + 8x + -1x2 = 30 + -8x + x2 + -30 + 8x + -1x2 Reorder the terms: 8820 + 8x + -1x2 = 30 + -30 + -8x + 8x + x2 + -1x2 Combine like terms: 30 + -30 = 0 8820 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2 8820 + 8x + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 8820 + 8x + -1x2 = 0 + x2 + -1x2 8820 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8820 + 8x + -1x2 = 0 Factor a trinomial. (98 + -1x)(90 + x) = 0Subproblem 1
Set the factor '(98 + -1x)' equal to zero and attempt to solve: Simplifying 98 + -1x = 0 Solving 98 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -1x = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -1x = 0 + -98 -1x = 0 + -98 Combine like terms: 0 + -98 = -98 -1x = -98 Divide each side by '-1'. x = 98 Simplifying x = 98Subproblem 2
Set the factor '(90 + x)' equal to zero and attempt to solve: Simplifying 90 + x = 0 Solving 90 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + x = 0 + -90 x = 0 + -90 Combine like terms: 0 + -90 = -90 x = -90 Simplifying x = -90Solution
x = {98, -90}
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