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Simplifying 4x2 + 6x + -1120 = 0 Reorder the terms: -1120 + 6x + 4x2 = 0 Solving -1120 + 6x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-560 + 3x + 2x2) = 0 Factor a trinomial. 2((-35 + -2x)(16 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-35 + -2x)' equal to zero and attempt to solve: Simplifying -35 + -2x = 0 Solving -35 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -2x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 0 + 35 -2x = 0 + 35 Combine like terms: 0 + 35 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-17.5, 16}
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