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Simplifying X2 + -60X + 900 = 0 Reorder the terms: 900 + -60X + X2 = 0 Solving 900 + -60X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (30 + -1X)(30 + -1X) = 0Subproblem 1
Set the factor '(30 + -1X)' equal to zero and attempt to solve: Simplifying 30 + -1X = 0 Solving 30 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1X = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1X = 0 + -30 -1X = 0 + -30 Combine like terms: 0 + -30 = -30 -1X = -30 Divide each side by '-1'. X = 30 Simplifying X = 30Subproblem 2
Set the factor '(30 + -1X)' equal to zero and attempt to solve: Simplifying 30 + -1X = 0 Solving 30 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1X = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1X = 0 + -30 -1X = 0 + -30 Combine like terms: 0 + -30 = -30 -1X = -30 Divide each side by '-1'. X = 30 Simplifying X = 30Solution
X = {30, 30}
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