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Simplifying 22x2 + 8x = 840 Reorder the terms: 8x + 22x2 = 840 Solving 8x + 22x2 = 840 Solving for variable 'x'. Reorder the terms: -840 + 8x + 22x2 = 840 + -840 Combine like terms: 840 + -840 = 0 -840 + 8x + 22x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-420 + 4x + 11x2) = 0 Factor a trinomial. 2((-70 + -11x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -6.363636364Subproblem 2
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 = 6Solution
x = {-6.363636364, 6}
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