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Simplifying 6x2 + 100x = 0 Reorder the terms: 100x + 6x2 = 0 Solving 100x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(50 + 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 '(50 + 3x)' equal to zero and attempt to solve: Simplifying 50 + 3x = 0 Solving 50 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = 0 + -50 3x = 0 + -50 Combine like terms: 0 + -50 = -50 3x = -50 Divide each side by '3'. x = -16.66666667 Simplifying x = -16.66666667Solution
x = {0, -16.66666667}
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