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Simplifying 12x3 + 36x3 + -4x = 0 Reorder the terms: -4x + 12x3 + 36x3 = 0 Combine like terms: 12x3 + 36x3 = 48x3 -4x + 48x3 = 0 Solving -4x + 48x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1 + 12x2) = 0 Ignore the factor 4.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 + 12x2)' equal to zero and attempt to solve: Simplifying -1 + 12x2 = 0 Solving -1 + 12x2 = 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 + 12x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12x2 = 0 + 1 12x2 = 0 + 1 Combine like terms: 0 + 1 = 1 12x2 = 1 Divide each side by '12'. x2 = 0.08333333333 Simplifying x2 = 0.08333333333 Take the square root of each side: x = {-0.288675135, 0.288675135}Solution
x = {0, -0.288675135, 0.288675135}
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