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Simplifying 5040 + -288x + 4x2 = 880 Solving 5040 + -288x + 4x2 = 880 Solving for variable 'x'. Reorder the terms: 5040 + -880 + -288x + 4x2 = 880 + -880 Combine like terms: 5040 + -880 = 4160 4160 + -288x + 4x2 = 880 + -880 Combine like terms: 880 + -880 = 0 4160 + -288x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1040 + -72x + x2) = 0 Factor a trinomial. 4((20 + -1x)(52 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(52 + -1x)' equal to zero and attempt to solve: Simplifying 52 + -1x = 0 Solving 52 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -1x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -1x = 0 + -52 -1x = 0 + -52 Combine like terms: 0 + -52 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52Solution
x = {20, 52}
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