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Simplifying 108x2 + -452x + 80 = 0 Reorder the terms: 80 + -452x + 108x2 = 0 Solving 80 + -452x + 108x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(20 + -113x + 27x2) = 0 Factor a trinomial. 4((5 + -27x)(4 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -27x)' equal to zero and attempt to solve: Simplifying 5 + -27x = 0 Solving 5 + -27x = 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 + -27x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -27x = 0 + -5 -27x = 0 + -5 Combine like terms: 0 + -5 = -5 -27x = -5 Divide each side by '-27'. x = 0.1851851852 Simplifying x = 0.1851851852Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.1851851852, 4}
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