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Simplifying x(x + -12) = 5440 Reorder the terms: x(-12 + x) = 5440 (-12 * x + x * x) = 5440 (-12x + x2) = 5440 Solving -12x + x2 = 5440 Solving for variable 'x'. Reorder the terms: -5440 + -12x + x2 = 5440 + -5440 Combine like terms: 5440 + -5440 = 0 -5440 + -12x + x2 = 0 Factor a trinomial. (-68 + -1x)(80 + -1x) = 0Subproblem 1
Set the factor '(-68 + -1x)' equal to zero and attempt to solve: Simplifying -68 + -1x = 0 Solving -68 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -1x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = 0 + 68 -1x = 0 + 68 Combine like terms: 0 + 68 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {-68, 80}
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