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Simplifying 99x2 + -357x + 90 = 0 Reorder the terms: 90 + -357x + 99x2 = 0 Solving 90 + -357x + 99x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(30 + -119x + 33x2) = 0 Factor a trinomial. 3((3 + -11x)(10 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -11x)' equal to zero and attempt to solve: Simplifying 3 + -11x = 0 Solving 3 + -11x = 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 + -11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 0 + -3 -11x = 0 + -3 Combine like terms: 0 + -3 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {0.2727272727, 3.333333333}
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