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Simplifying -6x2 + -41x = 0 Reorder the terms: -41x + -6x2 = 0 Solving -41x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(41 + 6x) = 0 Ignore the factor -1.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 '(41 + 6x)' equal to zero and attempt to solve: Simplifying 41 + 6x = 0 Solving 41 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 6x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 0 + -41 6x = 0 + -41 Combine like terms: 0 + -41 = -41 6x = -41 Divide each side by '6'. x = -6.833333333 Simplifying x = -6.833333333Solution
x = {0, -6.833333333}
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