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Simplifying (375 + x)(240 + x) + -8100 = 0 Multiply (375 + x) * (240 + x) (375(240 + x) + x(240 + x)) + -8100 = 0 ((240 * 375 + x * 375) + x(240 + x)) + -8100 = 0 ((90000 + 375x) + x(240 + x)) + -8100 = 0 (90000 + 375x + (240 * x + x * x)) + -8100 = 0 (90000 + 375x + (240x + x2)) + -8100 = 0 Combine like terms: 375x + 240x = 615x (90000 + 615x + x2) + -8100 = 0 Reorder the terms: 90000 + -8100 + 615x + x2 = 0 Combine like terms: 90000 + -8100 = 81900 81900 + 615x + x2 = 0 Solving 81900 + 615x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (420 + x)(195 + x) = 0Subproblem 1
Set the factor '(420 + x)' equal to zero and attempt to solve: Simplifying 420 + x = 0 Solving 420 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + x = 0 + -420 Combine like terms: 420 + -420 = 0 0 + x = 0 + -420 x = 0 + -420 Combine like terms: 0 + -420 = -420 x = -420 Simplifying x = -420Subproblem 2
Set the factor '(195 + x)' equal to zero and attempt to solve: Simplifying 195 + x = 0 Solving 195 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-195' to each side of the equation. 195 + -195 + x = 0 + -195 Combine like terms: 195 + -195 = 0 0 + x = 0 + -195 x = 0 + -195 Combine like terms: 0 + -195 = -195 x = -195 Simplifying x = -195Solution
x = {-420, -195}
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