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Simplifying 50x = 65x(x + 20) Reorder the terms: 50x = 65x(20 + x) 50x = (20 * 65x + x * 65x) 50x = (1300x + 65x2) Solving 50x = 1300x + 65x2 Solving for variable 'x'. Combine like terms: 50x + -1300x = -1250x -1250x + -65x2 = 1300x + 65x2 + -1300x + -65x2 Reorder the terms: -1250x + -65x2 = 1300x + -1300x + 65x2 + -65x2 Combine like terms: 1300x + -1300x = 0 -1250x + -65x2 = 0 + 65x2 + -65x2 -1250x + -65x2 = 65x2 + -65x2 Combine like terms: 65x2 + -65x2 = 0 -1250x + -65x2 = 0 Factor out the Greatest Common Factor (GCF), '-5x'. -5x(250 + 13x) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(250 + 13x)' equal to zero and attempt to solve: Simplifying 250 + 13x = 0 Solving 250 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + 13x = 0 + -250 Combine like terms: 250 + -250 = 0 0 + 13x = 0 + -250 13x = 0 + -250 Combine like terms: 0 + -250 = -250 13x = -250 Divide each side by '13'. x = -19.23076923 Simplifying x = -19.23076923Solution
x = {0, -19.23076923}
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