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Simplifying X4 + -80X3 + 79X2 = 0 Reorder the terms: 79X2 + -80X3 + X4 = 0 Solving 79X2 + -80X3 + X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(79 + -80X + X2) = 0 Factor a trinomial. X2((1 + -1X)(79 + -1X)) = 0Subproblem 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 '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Subproblem 3
Set the factor '(79 + -1X)' equal to zero and attempt to solve: Simplifying 79 + -1X = 0 Solving 79 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + -1X = 0 + -79 Combine like terms: 79 + -79 = 0 0 + -1X = 0 + -79 -1X = 0 + -79 Combine like terms: 0 + -79 = -79 -1X = -79 Divide each side by '-1'. X = 79 Simplifying X = 79Solution
X = {0, 1, 79}
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