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Simplifying (x + 1)(x + -40) = 0 Reorder the terms: (1 + x)(x + -40) = 0 Reorder the terms: (1 + x)(-40 + x) = 0 Multiply (1 + x) * (-40 + x) (1(-40 + x) + x(-40 + x)) = 0 ((-40 * 1 + x * 1) + x(-40 + x)) = 0 ((-40 + 1x) + x(-40 + x)) = 0 (-40 + 1x + (-40 * x + x * x)) = 0 (-40 + 1x + (-40x + x2)) = 0 Combine like terms: 1x + -40x = -39x (-40 + -39x + x2) = 0 Solving -40 + -39x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(40 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 40}
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