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Simplifying (6x2) + 10x = 0 Reorder the terms: 10x + (6x2) = 0 Solving 10x + (6x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + (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 '(5 + (3x))' equal to zero and attempt to solve: Simplifying 5 + (3x) = 0 Solving 5 + (3x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + (3x) = 0 + -5 Combine like terms: 5 + -5 = 0 0 + (3x) = 0 + -5 (3x) = 0 + -5 Combine like terms: 0 + -5 = -5 (3x) = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {0, -1.666666667}
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