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Simplifying 21x2 + -181x + 50 = 0 Reorder the terms: 50 + -181x + 21x2 = 0 Solving 50 + -181x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(25 + -3x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
Set the factor '(25 + -3x)' equal to zero and attempt to solve: Simplifying 25 + -3x = 0 Solving 25 + -3x = 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 + -3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = 0 + -25 -3x = 0 + -25 Combine like terms: 0 + -25 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333Solution
x = {0.2857142857, 8.333333333}
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