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Simplifying (x + 5)(75 + -1x) = 0 Reorder the terms: (5 + x)(75 + -1x) = 0 Multiply (5 + x) * (75 + -1x) (5(75 + -1x) + x(75 + -1x)) = 0 ((75 * 5 + -1x * 5) + x(75 + -1x)) = 0 ((375 + -5x) + x(75 + -1x)) = 0 (375 + -5x + (75 * x + -1x * x)) = 0 (375 + -5x + (75x + -1x2)) = 0 Combine like terms: -5x + 75x = 70x (375 + 70x + -1x2) = 0 Solving 375 + 70x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (75 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {75, -5}
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