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Simplifying 2x(2x2 + -13) = 0 Reorder the terms: 2x(-13 + 2x2) = 0 (-13 * 2x + 2x2 * 2x) = 0 (-26x + 4x3) = 0 Solving -26x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-13 + 2x2) = 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 '(-13 + 2x2)' equal to zero and attempt to solve: Simplifying -13 + 2x2 = 0 Solving -13 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2x2 = 0 + 13 2x2 = 0 + 13 Combine like terms: 0 + 13 = 13 2x2 = 13 Divide each side by '2'. x2 = 6.5 Simplifying x2 = 6.5 Take the square root of each side: x = {-2.549509757, 2.549509757}Solution
x = {0, -2.549509757, 2.549509757}
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