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Simplifying 6x2 + -68x = 0 Reorder the terms: -68x + 6x2 = 0 Solving -68x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-34 + 3x) = 0 Ignore the factor 2.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 '(-34 + 3x)' equal to zero and attempt to solve: Simplifying -34 + 3x = 0 Solving -34 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 3x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = 0 + 34 3x = 0 + 34 Combine like terms: 0 + 34 = 34 3x = 34 Divide each side by '3'. x = 11.33333333 Simplifying x = 11.33333333Solution
x = {0, 11.33333333}
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