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Simplifying X(3X + 4) = 95 Reorder the terms: X(4 + 3X) = 95 (4 * X + 3X * X) = 95 (4X + 3X2) = 95 Solving 4X + 3X2 = 95 Solving for variable 'X'. Reorder the terms: -95 + 4X + 3X2 = 95 + -95 Combine like terms: 95 + -95 = 0 -95 + 4X + 3X2 = 0 Factor a trinomial. (-19 + -3X)(5 + -1X) = 0Subproblem 1
Set the factor '(-19 + -3X)' equal to zero and attempt to solve: Simplifying -19 + -3X = 0 Solving -19 + -3X = 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 + -3X = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3X = 0 + 19 -3X = 0 + 19 Combine like terms: 0 + 19 = 19 -3X = 19 Divide each side by '-3'. X = -6.333333333 Simplifying X = -6.333333333Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {-6.333333333, 5}
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