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Simplifying 320x2 + 1096x + 846 = 0 Reorder the terms: 846 + 1096x + 320x2 = 0 Solving 846 + 1096x + 320x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(423 + 548x + 160x2) = 0 Factor a trinomial. 2((9 + 4x)(47 + 40x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(47 + 40x)' equal to zero and attempt to solve: Simplifying 47 + 40x = 0 Solving 47 + 40x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 40x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 40x = 0 + -47 40x = 0 + -47 Combine like terms: 0 + -47 = -47 40x = -47 Divide each side by '40'. x = -1.175 Simplifying x = -1.175Solution
x = {-2.25, -1.175}
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