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Simplifying 3x(x + 10) = 168 Reorder the terms: 3x(10 + x) = 168 (10 * 3x + x * 3x) = 168 (30x + 3x2) = 168 Solving 30x + 3x2 = 168 Solving for variable 'x'. Reorder the terms: -168 + 30x + 3x2 = 168 + -168 Combine like terms: 168 + -168 = 0 -168 + 30x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + 10x + x2) = 0 Factor a trinomial. 3((-14 + -1x)(4 + -1x)) = 0 Ignore the factor 3.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-14, 4}
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