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Simplifying X(10X + 3) = 27 Reorder the terms: X(3 + 10X) = 27 (3 * X + 10X * X) = 27 (3X + 10X2) = 27 Solving 3X + 10X2 = 27 Solving for variable 'X'. Reorder the terms: -27 + 3X + 10X2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 3X + 10X2 = 0 Factor a trinomial. (-9 + -5X)(3 + -2X) = 0Subproblem 1
Set the factor '(-9 + -5X)' equal to zero and attempt to solve: Simplifying -9 + -5X = 0 Solving -9 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5X = 0 + 9 -5X = 0 + 9 Combine like terms: 0 + 9 = 9 -5X = 9 Divide each side by '-5'. X = -1.8 Simplifying X = -1.8Subproblem 2
Set the factor '(3 + -2X)' equal to zero and attempt to solve: Simplifying 3 + -2X = 0 Solving 3 + -2X = 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 + -2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2X = 0 + -3 -2X = 0 + -3 Combine like terms: 0 + -3 = -3 -2X = -3 Divide each side by '-2'. X = 1.5 Simplifying X = 1.5Solution
X = {-1.8, 1.5}
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