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Simplifying x3 + -12x3 + 35x = 0 Reorder the terms: 35x + x3 + -12x3 = 0 Combine like terms: x3 + -12x3 = -11x3 35x + -11x3 = 0 Solving 35x + -11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(35 + -11x2) = 0Subproblem 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 '(35 + -11x2)' equal to zero and attempt to solve: Simplifying 35 + -11x2 = 0 Solving 35 + -11x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -11x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -11x2 = 0 + -35 -11x2 = 0 + -35 Combine like terms: 0 + -35 = -35 -11x2 = -35 Divide each side by '-11'. x2 = 3.181818182 Simplifying x2 = 3.181818182 Take the square root of each side: x = {-1.78376517, 1.78376517}Solution
x = {0, -1.78376517, 1.78376517}
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