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Simplifying 9x2 + 2x + 10 = -7x Reorder the terms: 10 + 2x + 9x2 = -7x Solving 10 + 2x + 9x2 = -7x Solving for variable 'x'. Reorder the terms: 10 + 2x + 7x + 9x2 = -7x + 7x Combine like terms: 2x + 7x = 9x 10 + 9x + 9x2 = -7x + 7x Combine like terms: -7x + 7x = 0 10 + 9x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + x + x2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + x + -1.111111111 + x2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + x + x2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + x + x2 = 0 + -1.111111111 x + x2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 x + x2 = -1.111111111 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -1.111111111 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -1.111111111 + 0.25 Combine like terms: -1.111111111 + 0.25 = -0.861111111 1.25 + x2 = -0.861111111 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.861111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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