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Simplifying x(3x + 4) = 20 Reorder the terms: x(4 + 3x) = 20 (4 * x + 3x * x) = 20 (4x + 3x2) = 20 Solving 4x + 3x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + 4x + 3x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 4x + 3x2 = 0 Factor a trinomial. (-10 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 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 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3.333333333, 2}
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