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Simplifying (50 + x)(25 + -2x) = 0 Multiply (50 + x) * (25 + -2x) (50(25 + -2x) + x(25 + -2x)) = 0 ((25 * 50 + -2x * 50) + x(25 + -2x)) = 0 ((1250 + -100x) + x(25 + -2x)) = 0 (1250 + -100x + (25 * x + -2x * x)) = 0 (1250 + -100x + (25x + -2x2)) = 0 Combine like terms: -100x + 25x = -75x (1250 + -75x + -2x2) = 0 Solving 1250 + -75x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -2x)(50 + x) = 0Subproblem 1
Set the factor '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve: Simplifying 50 + x = 0 Solving 50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + x = 0 + -50 x = 0 + -50 Combine like terms: 0 + -50 = -50 x = -50 Simplifying x = -50Solution
x = {12.5, -50}
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