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Simplifying 5x2 + -14x = -11 Reorder the terms: -14x + 5x2 = -11 Solving -14x + 5x2 = -11 Solving for variable 'x'. Reorder the terms: 11 + -14x + 5x2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + -14x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + -2.8x + x2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + -2.8x + -2.2 + x2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + -2.8x + x2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -2.8x + x2 = 0 + -2.2 -2.8x + x2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 -2.8x + x2 = -2.2 The x term is -2.8x. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8x + 1.96 + x2 = -2.2 + 1.96 Reorder the terms: 1.96 + -2.8x + x2 = -2.2 + 1.96 Combine like terms: -2.2 + 1.96 = -0.24 1.96 + -2.8x + x2 = -0.24 Factor a perfect square on the left side: (x + -1.4)(x + -1.4) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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