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Simplifying 11x2 + 3 = 5(4x + -3) Reorder the terms: 3 + 11x2 = 5(4x + -3) Reorder the terms: 3 + 11x2 = 5(-3 + 4x) 3 + 11x2 = (-3 * 5 + 4x * 5) 3 + 11x2 = (-15 + 20x) Solving 3 + 11x2 = -15 + 20x Solving for variable 'x'. Reorder the terms: 3 + 15 + -20x + 11x2 = -15 + 20x + 15 + -20x Combine like terms: 3 + 15 = 18 18 + -20x + 11x2 = -15 + 20x + 15 + -20x Reorder the terms: 18 + -20x + 11x2 = -15 + 15 + 20x + -20x Combine like terms: -15 + 15 = 0 18 + -20x + 11x2 = 0 + 20x + -20x 18 + -20x + 11x2 = 20x + -20x Combine like terms: 20x + -20x = 0 18 + -20x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.636363636 + -1.818181818x + x2 = 0 Move the constant term to the right: Add '-1.636363636' to each side of the equation. 1.636363636 + -1.818181818x + -1.636363636 + x2 = 0 + -1.636363636 Reorder the terms: 1.636363636 + -1.636363636 + -1.818181818x + x2 = 0 + -1.636363636 Combine like terms: 1.636363636 + -1.636363636 = 0.000000000 0.000000000 + -1.818181818x + x2 = 0 + -1.636363636 -1.818181818x + x2 = 0 + -1.636363636 Combine like terms: 0 + -1.636363636 = -1.636363636 -1.818181818x + x2 = -1.636363636 The x term is -1.818181818x. Take half its coefficient (-0.909090909). Square it (0.8264462808) and add it to both sides. Add '0.8264462808' to each side of the equation. -1.818181818x + 0.8264462808 + x2 = -1.636363636 + 0.8264462808 Reorder the terms: 0.8264462808 + -1.818181818x + x2 = -1.636363636 + 0.8264462808 Combine like terms: -1.636363636 + 0.8264462808 = -0.8099173552 0.8264462808 + -1.818181818x + x2 = -0.8099173552 Factor a perfect square on the left side: (x + -0.909090909)(x + -0.909090909) = -0.8099173552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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