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Simplifying 2X2 + -75X + 532 = 0 Reorder the terms: 532 + -75X + 2X2 = 0 Solving 532 + -75X + 2X2 = 0 Solving for variable 'X'. Factor a trinomial. (19 + -2X)(28 + -1X) = 0Subproblem 1
Set the factor '(19 + -2X)' equal to zero and attempt to solve: Simplifying 19 + -2X = 0 Solving 19 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2X = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2X = 0 + -19 -2X = 0 + -19 Combine like terms: 0 + -19 = -19 -2X = -19 Divide each side by '-2'. X = 9.5 Simplifying X = 9.5Subproblem 2
Set the factor '(28 + -1X)' equal to zero and attempt to solve: Simplifying 28 + -1X = 0 Solving 28 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1X = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1X = 0 + -28 -1X = 0 + -28 Combine like terms: 0 + -28 = -28 -1X = -28 Divide each side by '-1'. X = 28 Simplifying X = 28Solution
X = {9.5, 28}
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