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Simplifying 4x2 + -94x + 312 = 0 Reorder the terms: 312 + -94x + 4x2 = 0 Solving 312 + -94x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(156 + -47x + 2x2) = 0 Factor a trinomial. 2((4 + -1x)(39 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = 4Subproblem 2
Set the factor '(39 + -2x)' equal to zero and attempt to solve: Simplifying 39 + -2x = 0 Solving 39 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -2x = 0 + -39 -2x = 0 + -39 Combine like terms: 0 + -39 = -39 -2x = -39 Divide each side by '-2'. x = 19.5 Simplifying x = 19.5Solution
x = {4, 19.5}
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