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Simplifying (x + 10)(y + -40) = 0 Reorder the terms: (10 + x)(y + -40) = 0 Reorder the terms: (10 + x)(-40 + y) = 0 Multiply (10 + x) * (-40 + y) (10(-40 + y) + x(-40 + y)) = 0 ((-40 * 10 + y * 10) + x(-40 + y)) = 0 ((-400 + 10y) + x(-40 + y)) = 0 (-400 + 10y + (-40 * x + y * x)) = 0 (-400 + 10y + (-40x + xy)) = 0 Reorder the terms: (-400 + -40x + xy + 10y) = 0 (-400 + -40x + xy + 10y) = 0 Solving -400 + -40x + xy + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '400' to each side of the equation. -400 + -40x + xy + 400 + 10y = 0 + 400 Reorder the terms: -400 + 400 + -40x + xy + 10y = 0 + 400 Combine like terms: -400 + 400 = 0 0 + -40x + xy + 10y = 0 + 400 -40x + xy + 10y = 0 + 400 Combine like terms: 0 + 400 = 400 -40x + xy + 10y = 400 Add '-10y' to each side of the equation. -40x + xy + 10y + -10y = 400 + -10y Combine like terms: 10y + -10y = 0 -40x + xy + 0 = 400 + -10y -40x + xy = 400 + -10y Reorder the terms: -400 + -40x + xy + 10y = 400 + -10y + -400 + 10y Reorder the terms: -400 + -40x + xy + 10y = 400 + -400 + -10y + 10y Combine like terms: 400 + -400 = 0 -400 + -40x + xy + 10y = 0 + -10y + 10y -400 + -40x + xy + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 -400 + -40x + xy + 10y = 0 The solution to this equation could not be determined.
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