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Simplifying 6n2 + -1n + 7 = 7 Reorder the terms: 7 + -1n + 6n2 = 7 Add '-7' to each side of the equation. 7 + -1n + -7 + 6n2 = 7 + -7 Reorder the terms: 7 + -7 + -1n + 6n2 = 7 + -7 Combine like terms: 7 + -7 = 0 0 + -1n + 6n2 = 7 + -7 -1n + 6n2 = 7 + -7 Combine like terms: 7 + -7 = 0 -1n + 6n2 = 0 Solving -1n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-1 + 6n) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-1 + 6n)' equal to zero and attempt to solve: Simplifying -1 + 6n = 0 Solving -1 + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6n = 0 + 1 6n = 0 + 1 Combine like terms: 0 + 1 = 1 6n = 1 Divide each side by '6'. n = 0.1666666667 Simplifying n = 0.1666666667Solution
n = {0, 0.1666666667}
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