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Simplifying 1800 = x(x + 5) Reorder the terms: 1800 = x(5 + x) 1800 = (5 * x + x * x) 1800 = (5x + x2) Solving 1800 = 5x + x2 Solving for variable 'x'. Reorder the terms: 1800 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 1800 + -5x + -1x2 = 0 + x2 + -1x2 1800 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1800 + -5x + -1x2 = 0 Factor a trinomial. (40 + -1x)(45 + x) = 0Subproblem 1
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 = 40Subproblem 2
Set the factor '(45 + x)' equal to zero and attempt to solve: Simplifying 45 + x = 0 Solving 45 + x = 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 + x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + x = 0 + -45 x = 0 + -45 Combine like terms: 0 + -45 = -45 x = -45 Simplifying x = -45Solution
x = {40, -45}
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