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Simplifying (2X + 1)(X) = 66 Reorder the terms: (1 + 2X)(X) = 66 Reorder the terms for easier multiplication: X(1 + 2X) = 66 (1 * X + 2X * X) = 66 (1X + 2X2) = 66 Solving 1X + 2X2 = 66 Solving for variable 'X'. Reorder the terms: -66 + 1X + 2X2 = 66 + -66 Combine like terms: 66 + -66 = 0 -66 + 1X + 2X2 = 0 Factor a trinomial. (-6 + -1X)(11 + -2X) = 0Subproblem 1
Set the factor '(-6 + -1X)' equal to zero and attempt to solve: Simplifying -6 + -1X = 0 Solving -6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1X = 0 + 6 -1X = 0 + 6 Combine like terms: 0 + 6 = 6 -1X = 6 Divide each side by '-1'. X = -6 Simplifying X = -6Subproblem 2
Set the factor '(11 + -2X)' equal to zero and attempt to solve: Simplifying 11 + -2X = 0 Solving 11 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2X = 0 + -11 -2X = 0 + -11 Combine like terms: 0 + -11 = -11 -2X = -11 Divide each side by '-2'. X = 5.5 Simplifying X = 5.5Solution
X = {-6, 5.5}
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