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Simplifying 7720 = x2 + 5x + 70 Reorder the terms: 7720 = 70 + 5x + x2 Solving 7720 = 70 + 5x + x2 Solving for variable 'x'. Combine like terms: 7720 + -70 = 7650 7650 + -5x + -1x2 = 70 + 5x + x2 + -70 + -5x + -1x2 Reorder the terms: 7650 + -5x + -1x2 = 70 + -70 + 5x + -5x + x2 + -1x2 Combine like terms: 70 + -70 = 0 7650 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 7650 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 7650 + -5x + -1x2 = 0 + x2 + -1x2 7650 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7650 + -5x + -1x2 = 0 Factor a trinomial. (85 + -1x)(90 + x) = 0Subproblem 1
Set the factor '(85 + -1x)' equal to zero and attempt to solve: Simplifying 85 + -1x = 0 Solving 85 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -1x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -1x = 0 + -85 -1x = 0 + -85 Combine like terms: 0 + -85 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85Subproblem 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 = {85, -90}
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