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Simplifying 12x3 + 14x3 + -10x = 0 Reorder the terms: -10x + 12x3 + 14x3 = 0 Combine like terms: 12x3 + 14x3 = 26x3 -10x + 26x3 = 0 Solving -10x + 26x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 13x2) = 0 Ignore the factor 2.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 '(-5 + 13x2)' equal to zero and attempt to solve: Simplifying -5 + 13x2 = 0 Solving -5 + 13x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 13x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 13x2 = 0 + 5 13x2 = 0 + 5 Combine like terms: 0 + 5 = 5 13x2 = 5 Divide each side by '13'. x2 = 0.3846153846 Simplifying x2 = 0.3846153846 Take the square root of each side: x = {-0.620173673, 0.620173673}Solution
x = {0, -0.620173673, 0.620173673}
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