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Simplifying 3x2 + 19x + 36 = 8 Reorder the terms: 36 + 19x + 3x2 = 8 Solving 36 + 19x + 3x2 = 8 Solving for variable 'x'. Reorder the terms: 36 + -8 + 19x + 3x2 = 8 + -8 Combine like terms: 36 + -8 = 28 28 + 19x + 3x2 = 8 + -8 Combine like terms: 8 + -8 = 0 28 + 19x + 3x2 = 0 Factor a trinomial. (4 + x)(7 + 3x) = 0Subproblem 1
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 = -4Subproblem 2
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 = -2.333333333Solution
x = {-4, -2.333333333}
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