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Simplifying (3x + 4) * x = 480 Reorder the terms: (4 + 3x) * x = 480 Reorder the terms for easier multiplication: x(4 + 3x) = 480 (4 * x + 3x * x) = 480 (4x + 3x2) = 480 Solving 4x + 3x2 = 480 Solving for variable 'x'. Reorder the terms: -480 + 4x + 3x2 = 480 + -480 Combine like terms: 480 + -480 = 0 -480 + 4x + 3x2 = 0 Factor a trinomial. (-40 + -3x)(12 + -1x) = 0Subproblem 1
Set the factor '(-40 + -3x)' equal to zero and attempt to solve: Simplifying -40 + -3x = 0 Solving -40 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = 0 + 40 -3x = 0 + 40 Combine like terms: 0 + 40 = 40 -3x = 40 Divide each side by '-3'. x = -13.33333333 Simplifying x = -13.33333333Subproblem 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 = {-13.33333333, 12}
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