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Simplifying 3x2 + -39x4 + 108x2 = 0 Reorder the terms: 3x2 + 108x2 + -39x4 = 0 Combine like terms: 3x2 + 108x2 = 111x2 111x2 + -39x4 = 0 Solving 111x2 + -39x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(37 + -13x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(37 + -13x2)' equal to zero and attempt to solve: Simplifying 37 + -13x2 = 0 Solving 37 + -13x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -13x2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -13x2 = 0 + -37 -13x2 = 0 + -37 Combine like terms: 0 + -37 = -37 -13x2 = -37 Divide each side by '-13'. x2 = 2.846153846 Simplifying x2 = 2.846153846 Take the square root of each side: x = {-1.687054785, 1.687054785}Solution
x = {0, -1.687054785, 1.687054785}
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