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Simplifying 90X4 + 240X3 + 160X2 = 0 Reorder the terms: 160X2 + 240X3 + 90X4 = 0 Solving 160X2 + 240X3 + 90X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '10X2'. 10X2(16 + 24X + 9X2) = 0 Factor a trinomial. 10X2((4 + 3X)(4 + 3X)) = 0 Ignore the factor 10.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 '(4 + 3X)' equal to zero and attempt to solve: Simplifying 4 + 3X = 0 Solving 4 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3X = 0 + -4 3X = 0 + -4 Combine like terms: 0 + -4 = -4 3X = -4 Divide each side by '3'. X = -1.333333333 Simplifying X = -1.333333333Subproblem 3
Set the factor '(4 + 3X)' equal to zero and attempt to solve: Simplifying 4 + 3X = 0 Solving 4 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3X = 0 + -4 3X = 0 + -4 Combine like terms: 0 + -4 = -4 3X = -4 Divide each side by '3'. X = -1.333333333 Simplifying X = -1.333333333Solution
X = {0, -1.333333333, -1.333333333}
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