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Simplifying 27x3 + -147x2 = 0 Reorder the terms: -147x2 + 27x3 = 0 Solving -147x2 + 27x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-49 + 9x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-49 + 9x)' equal to zero and attempt to solve: Simplifying -49 + 9x = 0 Solving -49 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 9x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 9x = 0 + 49 9x = 0 + 49 Combine like terms: 0 + 49 = 49 9x = 49 Divide each side by '9'. x = 5.444444444 Simplifying x = 5.444444444Solution
x = {0, 5.444444444}
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