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Simplifying 7x2 + 8 = -9x Reorder the terms: 8 + 7x2 = -9x Solving 8 + 7x2 = -9x Solving for variable 'x'. Reorder the terms: 8 + 9x + 7x2 = -9x + 9x Combine like terms: -9x + 9x = 0 8 + 9x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 1.285714286x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 1.285714286x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 1.285714286x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 1.285714286x + x2 = 0 + -1.142857143 1.285714286x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 1.285714286x + x2 = -1.142857143 The x term is 1.285714286x. Take half its coefficient (0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. 1.285714286x + 0.4132653063 + x2 = -1.142857143 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286x + x2 = -1.142857143 + 0.4132653063 Combine like terms: -1.142857143 + 0.4132653063 = -0.7295918367 0.4132653063 + 1.285714286x + x2 = -0.7295918367 Factor a perfect square on the left side: (x + 0.642857143)(x + 0.642857143) = -0.7295918367 Can't calculate square root of the right side. The solution to this equation could not be determined.
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