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Simplifying x(x + -4) = 1760 Reorder the terms: x(-4 + x) = 1760 (-4 * x + x * x) = 1760 (-4x + x2) = 1760 Solving -4x + x2 = 1760 Solving for variable 'x'. Reorder the terms: -1760 + -4x + x2 = 1760 + -1760 Combine like terms: 1760 + -1760 = 0 -1760 + -4x + x2 = 0 Factor a trinomial. (-40 + -1x)(44 + -1x) = 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 '(44 + -1x)' equal to zero and attempt to solve: Simplifying 44 + -1x = 0 Solving 44 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = 0 + -44 -1x = 0 + -44 Combine like terms: 0 + -44 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44Solution
x = {-40, 44}
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