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Simplifying 3x + 6(x2 + 100 + 20x) = 0 Reorder the terms: 3x + 6(100 + 20x + x2) = 0 3x + (100 * 6 + 20x * 6 + x2 * 6) = 0 3x + (600 + 120x + 6x2) = 0 Reorder the terms: 600 + 3x + 120x + 6x2 = 0 Combine like terms: 3x + 120x = 123x 600 + 123x + 6x2 = 0 Solving 600 + 123x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(200 + 41x + 2x2) = 0 Factor a trinomial. 3((25 + 2x)(8 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(25 + 2x)' equal to zero and attempt to solve: Simplifying 25 + 2x = 0 Solving 25 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-12.5, -8}
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