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Simplifying 4X2 + -102X + 410 = 0 Reorder the terms: 410 + -102X + 4X2 = 0 Solving 410 + -102X + 4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(205 + -51X + 2X2) = 0 Factor a trinomial. 2((5 + -1X)(41 + -2X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 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 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Subproblem 2
Set the factor '(41 + -2X)' equal to zero and attempt to solve: Simplifying 41 + -2X = 0 Solving 41 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -2X = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -2X = 0 + -41 -2X = 0 + -41 Combine like terms: 0 + -41 = -41 -2X = -41 Divide each side by '-2'. X = 20.5 Simplifying X = 20.5Solution
X = {5, 20.5}
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