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Simplifying 0 = 3x2 + 2x + -40 Reorder the terms: 0 = -40 + 2x + 3x2 Solving 0 = -40 + 2x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 40 = 40 40 + -2x + -3x2 = -40 + 2x + 3x2 + 40 + -2x + -3x2 Reorder the terms: 40 + -2x + -3x2 = -40 + 40 + 2x + -2x + 3x2 + -3x2 Combine like terms: -40 + 40 = 0 40 + -2x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2 40 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2 Combine like terms: 2x + -2x = 0 40 + -2x + -3x2 = 0 + 3x2 + -3x2 40 + -2x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 40 + -2x + -3x2 = 0 Factor a trinomial. (10 + -3x)(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {3.333333333, -4}
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