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Simplifying 180x2 + -154x + 30 = 0 Reorder the terms: 30 + -154x + 180x2 = 0 Solving 30 + -154x + 180x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -77x + 90x2) = 0 Factor a trinomial. 2((3 + -10x)(5 + -9x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve: Simplifying 3 + -10x = 0 Solving 3 + -10x = 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 + -10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 0 + -3 -10x = 0 + -3 Combine like terms: 0 + -3 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0.3, 0.5555555556}
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