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Simplifying x2 = 4x + 1440 Reorder the terms: x2 = 1440 + 4x Solving x2 = 1440 + 4x Solving for variable 'x'. Reorder the terms: -1440 + -4x + x2 = 1440 + 4x + -1440 + -4x Reorder the terms: -1440 + -4x + x2 = 1440 + -1440 + 4x + -4x Combine like terms: 1440 + -1440 = 0 -1440 + -4x + x2 = 0 + 4x + -4x -1440 + -4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -1440 + -4x + x2 = 0 Factor a trinomial. (-36 + -1x)(40 + -1x) = 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 + -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 = {-36, 40}
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