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Simplifying 3x3 + 22x2 + 19x = 0 Reorder the terms: 19x + 22x2 + 3x3 = 0 Solving 19x + 22x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(19 + 22x + 3x2) = 0 Factor a trinomial. x((19 + 3x)(1 + x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(19 + 3x)' equal to zero and attempt to solve: Simplifying 19 + 3x = 0 Solving 19 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 0 + -19 3x = 0 + -19 Combine like terms: 0 + -19 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -6.333333333, -1}
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