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Simplifying 0 = 5x3 + 50x2 Reorder the terms: 0 = 50x2 + 5x3 Solving 0 = 50x2 + 5x3 Solving for variable 'x'. Remove the zero: -50x2 + -5x3 = 50x2 + 5x3 + -50x2 + -5x3 Reorder the terms: -50x2 + -5x3 = 50x2 + -50x2 + 5x3 + -5x3 Combine like terms: 50x2 + -50x2 = 0 -50x2 + -5x3 = 0 + 5x3 + -5x3 -50x2 + -5x3 = 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 -50x2 + -5x3 = 0 Factor out the Greatest Common Factor (GCF), '-5x2'. -5x2(10 + x) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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