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Simplifying 160x3 + 9600x2 = 0 Reorder the terms: 9600x2 + 160x3 = 0 Solving 9600x2 + 160x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '160x2'. 160x2(60 + x) = 0 Ignore the factor 160.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 '(60 + x)' equal to zero and attempt to solve: Simplifying 60 + x = 0 Solving 60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + x = 0 + -60 x = 0 + -60 Combine like terms: 0 + -60 = -60 x = -60 Simplifying x = -60Solution
x = {0, -60}
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