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Simplifying 27x3 + -13x = 0 Reorder the terms: -13x + 27x3 = 0 Solving -13x + 27x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 27x2) = 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 '(-13 + 27x2)' equal to zero and attempt to solve: Simplifying -13 + 27x2 = 0 Solving -13 + 27x2 = 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 + 27x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 27x2 = 0 + 13 27x2 = 0 + 13 Combine like terms: 0 + 13 = 13 27x2 = 13 Divide each side by '27'. x2 = 0.4814814815 Simplifying x2 = 0.4814814815 Take the square root of each side: x = {-0.693888667, 0.693888667}Solution
x = {0, -0.693888667, 0.693888667}
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