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Simplifying 3x2 + 41x = -96 Reorder the terms: 41x + 3x2 = -96 Solving 41x + 3x2 = -96 Solving for variable 'x'. Reorder the terms: 96 + 41x + 3x2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + 41x + 3x2 = 0 Factor a trinomial. (32 + 3x)(3 + x) = 0Subproblem 1
Set the factor '(32 + 3x)' equal to zero and attempt to solve: Simplifying 32 + 3x = 0 Solving 32 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 0 + -32 3x = 0 + -32 Combine like terms: 0 + -32 = -32 3x = -32 Divide each side by '3'. x = -10.66666667 Simplifying x = -10.66666667Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-10.66666667, -3}
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