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Simplifying 1372x3 + 980x2 + 175x = 0 Reorder the terms: 175x + 980x2 + 1372x3 = 0 Solving 175x + 980x2 + 1372x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(25 + 140x + 196x2) = 0 Factor a trinomial. 7x((5 + 14x)(5 + 14x)) = 0 Ignore the factor 7.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 '(5 + 14x)' equal to zero and attempt to solve: Simplifying 5 + 14x = 0 Solving 5 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 0 + -5 14x = 0 + -5 Combine like terms: 0 + -5 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571Subproblem 3
Set the factor '(5 + 14x)' equal to zero and attempt to solve: Simplifying 5 + 14x = 0 Solving 5 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 0 + -5 14x = 0 + -5 Combine like terms: 0 + -5 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571Solution
x = {0, -0.3571428571, -0.3571428571}
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