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Simplifying (x + 40)(x + -40) = 180 Reorder the terms: (40 + x)(x + -40) = 180 Reorder the terms: (40 + x)(-40 + x) = 180 Multiply (40 + x) * (-40 + x) (40(-40 + x) + x(-40 + x)) = 180 ((-40 * 40 + x * 40) + x(-40 + x)) = 180 ((-1600 + 40x) + x(-40 + x)) = 180 (-1600 + 40x + (-40 * x + x * x)) = 180 (-1600 + 40x + (-40x + x2)) = 180 Combine like terms: 40x + -40x = 0 (-1600 + 0 + x2) = 180 (-1600 + x2) = 180 Solving -1600 + x2 = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1600' to each side of the equation. -1600 + 1600 + x2 = 180 + 1600 Combine like terms: -1600 + 1600 = 0 0 + x2 = 180 + 1600 x2 = 180 + 1600 Combine like terms: 180 + 1600 = 1780 x2 = 1780 Simplifying x2 = 1780 Take the square root of each side: x = {-42.190046219, 42.190046219}
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