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Simplifying (10x2 + 50x) + 2x2 = 0 Reorder the terms: (50x + 10x2) + 2x2 = 0 Remove parenthesis around (50x + 10x2) 50x + 10x2 + 2x2 = 0 Combine like terms: 10x2 + 2x2 = 12x2 50x + 12x2 = 0 Solving 50x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(25 + 6x) = 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 '(25 + 6x)' equal to zero and attempt to solve: Simplifying 25 + 6x = 0 Solving 25 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6x = 0 + -25 6x = 0 + -25 Combine like terms: 0 + -25 = -25 6x = -25 Divide each side by '6'. x = -4.166666667 Simplifying x = -4.166666667Solution
x = {0, -4.166666667}
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