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Simplifying 6x2 = 19x Solving 6x2 = 19x Solving for variable 'x'. Reorder the terms: -19x + 6x2 = 19x + -19x Combine like terms: 19x + -19x = 0 -19x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + 6x) = 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 '(-19 + 6x)' equal to zero and attempt to solve: Simplifying -19 + 6x = 0 Solving -19 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 0 + 19 6x = 0 + 19 Combine like terms: 0 + 19 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667Solution
x = {0, 3.166666667}
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