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Simplifying 4x3 + -180x2 + -784x = 0 Reorder the terms: -784x + -180x2 + 4x3 = 0 Solving -784x + -180x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-196 + -45x + x2) = 0 Factor a trinomial. 4x((-4 + -1x)(49 + -1x)) = 0 Ignore the factor 4.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 '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 3
Set the factor '(49 + -1x)' equal to zero and attempt to solve: Simplifying 49 + -1x = 0 Solving 49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 0 + -49 -1x = 0 + -49 Combine like terms: 0 + -49 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49Solution
x = {0, -4, 49}
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