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Simplifying 18x3 + -6x + 3x = 0 Reorder the terms: -6x + 3x + 18x3 = 0 Combine like terms: -6x + 3x = -3x -3x + 18x3 = 0 Solving -3x + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1 + 6x2) = 0 Ignore the factor 3.Subproblem 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 '(-1 + 6x2)' equal to zero and attempt to solve: Simplifying -1 + 6x2 = 0 Solving -1 + 6x2 = 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 + 6x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x2 = 0 + 1 6x2 = 0 + 1 Combine like terms: 0 + 1 = 1 6x2 = 1 Divide each side by '6'. x2 = 0.1666666667 Simplifying x2 = 0.1666666667 Take the square root of each side: x = {-0.408248291, 0.408248291}Solution
x = {0, -0.408248291, 0.408248291}
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