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Simplifying 60x3 + -18x3 + -6x = 0 Reorder the terms: -6x + 60x3 + -18x3 = 0 Combine like terms: 60x3 + -18x3 = 42x3 -6x + 42x3 = 0 Solving -6x + 42x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1 + 7x2) = 0 Ignore the factor 6.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 + 7x2)' equal to zero and attempt to solve: Simplifying -1 + 7x2 = 0 Solving -1 + 7x2 = 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 + 7x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x2 = 0 + 1 7x2 = 0 + 1 Combine like terms: 0 + 1 = 1 7x2 = 1 Divide each side by '7'. x2 = 0.1428571429 Simplifying x2 = 0.1428571429 Take the square root of each side: x = {-0.377964473, 0.377964473}Solution
x = {0, -0.377964473, 0.377964473}
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