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Simplifying 3x2 + 13x + 19 = 5 Reorder the terms: 19 + 13x + 3x2 = 5 Solving 19 + 13x + 3x2 = 5 Solving for variable 'x'. Reorder the terms: 19 + -5 + 13x + 3x2 = 5 + -5 Combine like terms: 19 + -5 = 14 14 + 13x + 3x2 = 5 + -5 Combine like terms: 5 + -5 = 0 14 + 13x + 3x2 = 0 Factor a trinomial. (7 + 3x)(2 + x) = 0Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2.333333333, -2}
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