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Simplifying 840 = (6)(x)(x + -4) Reorder the terms: 840 = 6x(-4 + x) 840 = (-4 * 6x + x * 6x) 840 = (-24x + 6x2) Solving 840 = -24x + 6x2 Solving for variable 'x'. Reorder the terms: 840 + 24x + -6x2 = -24x + 24x + 6x2 + -6x2 Combine like terms: -24x + 24x = 0 840 + 24x + -6x2 = 0 + 6x2 + -6x2 840 + 24x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 840 + 24x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(140 + 4x + -1x2) = 0 Factor a trinomial. 6((14 + -1x)(10 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {14, -10}
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