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Simplifying 4x2 + -54x + 92 = 0 Reorder the terms: 92 + -54x + 4x2 = 0 Solving 92 + -54x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(46 + -27x + 2x2) = 0 Factor a trinomial. 2((2 + -1x)(23 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(23 + -2x)' equal to zero and attempt to solve: Simplifying 23 + -2x = 0 Solving 23 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 0 + -23 -2x = 0 + -23 Combine like terms: 0 + -23 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5Solution
x = {2, 11.5}
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