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Simplifying (2x2) + -380x + 4928 = 0 Reorder the terms: 4928 + -380x + (2x2) = 0 Solving 4928 + -380x + (2x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2464 + -190x + x2) = 0 Factor a trinomial. 2((14 + -1x)(176 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(176 + -1x)' equal to zero and attempt to solve: Simplifying 176 + -1x = 0 Solving 176 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-176' to each side of the equation. 176 + -176 + -1x = 0 + -176 Combine like terms: 176 + -176 = 0 0 + -1x = 0 + -176 -1x = 0 + -176 Combine like terms: 0 + -176 = -176 -1x = -176 Divide each side by '-1'. x = 176 Simplifying x = 176Solution
x = {14, 176}
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