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Simplifying 8x2 + -27x = 0 Reorder the terms: -27x + 8x2 = 0 Solving -27x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-27 + 8x) = 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 '(-27 + 8x)' equal to zero and attempt to solve: Simplifying -27 + 8x = 0 Solving -27 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 8x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 0 + 27 8x = 0 + 27 Combine like terms: 0 + 27 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375Solution
x = {0, 3.375}
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