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Simplifying (50 + -1x)(5x + 3) = 0 Reorder the terms: (50 + -1x)(3 + 5x) = 0 Multiply (50 + -1x) * (3 + 5x) (50(3 + 5x) + -1x * (3 + 5x)) = 0 ((3 * 50 + 5x * 50) + -1x * (3 + 5x)) = 0 ((150 + 250x) + -1x * (3 + 5x)) = 0 (150 + 250x + (3 * -1x + 5x * -1x)) = 0 (150 + 250x + (-3x + -5x2)) = 0 Combine like terms: 250x + -3x = 247x (150 + 247x + -5x2) = 0 Solving 150 + 247x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (50 + -1x)(3 + 5x) = 0Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 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 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {50, -0.6}
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