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Simplifying 0 = -840 + 8x + 22x2 Solving 0 = -840 + 8x + 22x2 Solving for variable 'x'. Combine like terms: 0 + 840 = 840 840 + -8x + -22x2 = -840 + 8x + 22x2 + 840 + -8x + -22x2 Reorder the terms: 840 + -8x + -22x2 = -840 + 840 + 8x + -8x + 22x2 + -22x2 Combine like terms: -840 + 840 = 0 840 + -8x + -22x2 = 0 + 8x + -8x + 22x2 + -22x2 840 + -8x + -22x2 = 8x + -8x + 22x2 + -22x2 Combine like terms: 8x + -8x = 0 840 + -8x + -22x2 = 0 + 22x2 + -22x2 840 + -8x + -22x2 = 22x2 + -22x2 Combine like terms: 22x2 + -22x2 = 0 840 + -8x + -22x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(420 + -4x + -11x2) = 0 Factor a trinomial. 2((6 + -1x)(70 + 11x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(70 + 11x)' equal to zero and attempt to solve: Simplifying 70 + 11x = 0 Solving 70 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 11x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 11x = 0 + -70 11x = 0 + -70 Combine like terms: 0 + -70 = -70 11x = -70 Divide each side by '11'. x = -6.363636364 Simplifying x = -6.363636364Solution
x = {6, -6.363636364}
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