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Simplifying 5x2 + 16x + 70 = 0 Reorder the terms: 70 + 16x + 5x2 = 0 Solving 70 + 16x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 14 + 3.2x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + 3.2x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 3.2x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3.2x + x2 = 0 + -14 3.2x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 3.2x + x2 = -14 The x term is 3.2x. Take half its coefficient (1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. 3.2x + 2.56 + x2 = -14 + 2.56 Reorder the terms: 2.56 + 3.2x + x2 = -14 + 2.56 Combine like terms: -14 + 2.56 = -11.44 2.56 + 3.2x + x2 = -11.44 Factor a perfect square on the left side: (x + 1.6)(x + 1.6) = -11.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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