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Simplifying 5(3x2 + -190x + 2000) = 0 Reorder the terms: 5(2000 + -190x + 3x2) = 0 (2000 * 5 + -190x * 5 + 3x2 * 5) = 0 (10000 + -950x + 15x2) = 0 Solving 10000 + -950x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(2000 + -190x + 3x2) = 0 Factor a trinomial. 5((40 + -3x)(50 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(40 + -3x)' equal to zero and attempt to solve: Simplifying 40 + -3x = 0 Solving 40 + -3x = 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 + -3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 0 + -40 -3x = 0 + -40 Combine like terms: 0 + -40 = -40 -3x = -40 Divide each side by '-3'. x = 13.33333333 Simplifying x = 13.33333333Subproblem 2
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 = 50Solution
x = {13.33333333, 50}
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