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Simplifying x(x + 5) = 6800 Reorder the terms: x(5 + x) = 6800 (5 * x + x * x) = 6800 (5x + x2) = 6800 Solving 5x + x2 = 6800 Solving for variable 'x'. Reorder the terms: -6800 + 5x + x2 = 6800 + -6800 Combine like terms: 6800 + -6800 = 0 -6800 + 5x + x2 = 0 Factor a trinomial. (-85 + -1x)(80 + -1x) = 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 '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {-85, 80}
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