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Simplifying 72x4 + 36x3 + -260x2 = 0 Reorder the terms: -260x2 + 36x3 + 72x4 = 0 Solving -260x2 + 36x3 + 72x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-65 + 9x + 18x2) = 0 Factor a trinomial. 4x2((-13 + -6x)(5 + -3x)) = 0 Ignore the factor 4.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 '(-13 + -6x)' equal to zero and attempt to solve: Simplifying -13 + -6x = 0 Solving -13 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -6x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 0 + 13 -6x = 0 + 13 Combine like terms: 0 + 13 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667Subproblem 3
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, -2.166666667, 1.666666667}
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