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Simplifying 6x = 81x2 Solving 6x = 81x2 Solving for variable 'x'. Combine like terms: 81x2 + -81x2 = 0 6x + -81x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + -27x) = 0 Ignore the factor 3.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 '(2 + -27x)' equal to zero and attempt to solve: Simplifying 2 + -27x = 0 Solving 2 + -27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -27x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -27x = 0 + -2 -27x = 0 + -2 Combine like terms: 0 + -2 = -2 -27x = -2 Divide each side by '-27'. x = 0.07407407407 Simplifying x = 0.07407407407Solution
x = {0, 0.07407407407}
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