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Simplifying 6x(x + 35) = 11x Reorder the terms: 6x(35 + x) = 11x (35 * 6x + x * 6x) = 11x (210x + 6x2) = 11x Solving 210x + 6x2 = 11x Solving for variable 'x'. Reorder the terms: 210x + -11x + 6x2 = 11x + -11x Combine like terms: 210x + -11x = 199x 199x + 6x2 = 11x + -11x Combine like terms: 11x + -11x = 0 199x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(199 + 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 '(199 + 6x)' equal to zero and attempt to solve: Simplifying 199 + 6x = 0 Solving 199 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-199' to each side of the equation. 199 + -199 + 6x = 0 + -199 Combine like terms: 199 + -199 = 0 0 + 6x = 0 + -199 6x = 0 + -199 Combine like terms: 0 + -199 = -199 6x = -199 Divide each side by '6'. x = -33.16666667 Simplifying x = -33.16666667Solution
x = {0, -33.16666667}
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