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Simplifying -1x(x + 4) = -1440 Reorder the terms: -1x(4 + x) = -1440 (4 * -1x + x * -1x) = -1440 (-4x + -1x2) = -1440 Solving -4x + -1x2 = -1440 Solving for variable 'x'. Reorder the terms: 1440 + -4x + -1x2 = -1440 + 1440 Combine like terms: -1440 + 1440 = 0 1440 + -4x + -1x2 = 0 Factor a trinomial. (36 + -1x)(40 + x) = 0Subproblem 1
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 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 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {36, -40}
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