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Simplifying X2 + 5X = 1800 Reorder the terms: 5X + X2 = 1800 Solving 5X + X2 = 1800 Solving for variable 'X'. Reorder the terms: -1800 + 5X + X2 = 1800 + -1800 Combine like terms: 1800 + -1800 = 0 -1800 + 5X + X2 = 0 Factor a trinomial. (-45 + -1X)(40 + -1X) = 0Subproblem 1
Set the factor '(-45 + -1X)' equal to zero and attempt to solve: Simplifying -45 + -1X = 0 Solving -45 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1X = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1X = 0 + 45 -1X = 0 + 45 Combine like terms: 0 + 45 = 45 -1X = 45 Divide each side by '-1'. X = -45 Simplifying X = -45Subproblem 2
Set the factor '(40 + -1X)' equal to zero and attempt to solve: Simplifying 40 + -1X = 0 Solving 40 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1X = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1X = 0 + -40 -1X = 0 + -40 Combine like terms: 0 + -40 = -40 -1X = -40 Divide each side by '-1'. X = 40 Simplifying X = 40Solution
X = {-45, 40}
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