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Simplifying X(2X + -3) = 90 Reorder the terms: X(-3 + 2X) = 90 (-3 * X + 2X * X) = 90 (-3X + 2X2) = 90 Solving -3X + 2X2 = 90 Solving for variable 'X'. Reorder the terms: -90 + -3X + 2X2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -3X + 2X2 = 0 Factor a trinomial. (-6 + -1X)(15 + -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 '(15 + -2X)' equal to zero and attempt to solve: Simplifying 15 + -2X = 0 Solving 15 + -2X = 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 + -2X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2X = 0 + -15 -2X = 0 + -15 Combine like terms: 0 + -15 = -15 -2X = -15 Divide each side by '-2'. X = 7.5 Simplifying X = 7.5Solution
X = {-6, 7.5}
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