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Simplifying 5x2 = 11x + -12 Reorder the terms: 5x2 = -12 + 11x Solving 5x2 = -12 + 11x Solving for variable 'x'. Reorder the terms: 12 + -11x + 5x2 = -12 + 11x + 12 + -11x Reorder the terms: 12 + -11x + 5x2 = -12 + 12 + 11x + -11x Combine like terms: -12 + 12 = 0 12 + -11x + 5x2 = 0 + 11x + -11x 12 + -11x + 5x2 = 11x + -11x Combine like terms: 11x + -11x = 0 12 + -11x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + -2.2x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -2.2x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -2.2x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -2.2x + x2 = 0 + -2.4 -2.2x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -2.2x + x2 = -2.4 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -2.4 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -2.4 + 1.21 Combine like terms: -2.4 + 1.21 = -1.19 1.21 + -2.2x + x2 = -1.19 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -1.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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