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Simplifying 3x3 + -19x = -6x Reorder the terms: -19x + 3x3 = -6x Solving -19x + 3x3 = -6x Solving for variable 'x'. Reorder the terms: -19x + 6x + 3x3 = -6x + 6x Combine like terms: -19x + 6x = -13x -13x + 3x3 = -6x + 6x Combine like terms: -6x + 6x = 0 -13x + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 3x2) = 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 '(-13 + 3x2)' equal to zero and attempt to solve: Simplifying -13 + 3x2 = 0 Solving -13 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x2 = 0 + 13 3x2 = 0 + 13 Combine like terms: 0 + 13 = 13 3x2 = 13 Divide each side by '3'. x2 = 4.333333333 Simplifying x2 = 4.333333333 Take the square root of each side: x = {-2.081665999, 2.081665999}Solution
x = {0, -2.081665999, 2.081665999}
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