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Simplifying 10x2 + 84x + 185 = 0 Reorder the terms: 185 + 84x + 10x2 = 0 Solving 185 + 84x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 18.5 + 8.4x + x2 = 0 Move the constant term to the right: Add '-18.5' to each side of the equation. 18.5 + 8.4x + -18.5 + x2 = 0 + -18.5 Reorder the terms: 18.5 + -18.5 + 8.4x + x2 = 0 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + 8.4x + x2 = 0 + -18.5 8.4x + x2 = 0 + -18.5 Combine like terms: 0 + -18.5 = -18.5 8.4x + x2 = -18.5 The x term is 8.4x. Take half its coefficient (4.2). Square it (17.64) and add it to both sides. Add '17.64' to each side of the equation. 8.4x + 17.64 + x2 = -18.5 + 17.64 Reorder the terms: 17.64 + 8.4x + x2 = -18.5 + 17.64 Combine like terms: -18.5 + 17.64 = -0.86 17.64 + 8.4x + x2 = -0.86 Factor a perfect square on the left side: (x + 4.2)(x + 4.2) = -0.86 Can't calculate square root of the right side. The solution to this equation could not be determined.
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