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Simplifying 45 + -27X + 4X2 = 0 Solving 45 + -27X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (3 + -1X)(15 + -4X) = 0Subproblem 1
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Subproblem 2
Set the factor '(15 + -4X)' equal to zero and attempt to solve: Simplifying 15 + -4X = 0 Solving 15 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4X = 0 + -15 -4X = 0 + -15 Combine like terms: 0 + -15 = -15 -4X = -15 Divide each side by '-4'. X = 3.75 Simplifying X = 3.75Solution
X = {3, 3.75}
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