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Simplifying x3 + 2x3 + -35x = 0 Reorder the terms: -35x + x3 + 2x3 = 0 Combine like terms: x3 + 2x3 = 3x3 -35x + 3x3 = 0 Solving -35x + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-35 + 3x2) = 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 + 3x2)' equal to zero and attempt to solve: Simplifying -35 + 3x2 = 0 Solving -35 + 3x2 = 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 + 3x2 = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 3x2 = 0 + 35 3x2 = 0 + 35 Combine like terms: 0 + 35 = 35 3x2 = 35 Divide each side by '3'. x2 = 11.66666667 Simplifying x2 = 11.66666667 Take the square root of each side: x = {-3.415650256, 3.415650256}Solution
x = {0, -3.415650256, 3.415650256}
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