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Simplifying 3x(2x + 1) * 12 = 10800 Reorder the terms: 3x(1 + 2x) * 12 = 10800 Reorder the terms for easier multiplication: 3 * 12x(1 + 2x) = 10800 Multiply 3 * 12 36x(1 + 2x) = 10800 (1 * 36x + 2x * 36x) = 10800 (36x + 72x2) = 10800 Solving 36x + 72x2 = 10800 Solving for variable 'x'. Reorder the terms: -10800 + 36x + 72x2 = 10800 + -10800 Combine like terms: 10800 + -10800 = 0 -10800 + 36x + 72x2 = 0 Factor out the Greatest Common Factor (GCF), '36'. 36(-300 + x + 2x2) = 0 Factor a trinomial. 36((-25 + -2x)(12 + -1x)) = 0 Ignore the factor 36.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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-12.5, 12}
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