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Simplifying (2x2 + 6x + 10) + (5x2 + 3x + 12) = 0 Reorder the terms: (10 + 6x + 2x2) + (5x2 + 3x + 12) = 0 Remove parenthesis around (10 + 6x + 2x2) 10 + 6x + 2x2 + (5x2 + 3x + 12) = 0 Reorder the terms: 10 + 6x + 2x2 + (12 + 3x + 5x2) = 0 Remove parenthesis around (12 + 3x + 5x2) 10 + 6x + 2x2 + 12 + 3x + 5x2 = 0 Reorder the terms: 10 + 12 + 6x + 3x + 2x2 + 5x2 = 0 Combine like terms: 10 + 12 = 22 22 + 6x + 3x + 2x2 + 5x2 = 0 Combine like terms: 6x + 3x = 9x 22 + 9x + 2x2 + 5x2 = 0 Combine like terms: 2x2 + 5x2 = 7x2 22 + 9x + 7x2 = 0 Solving 22 + 9x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.142857143 + 1.285714286x + x2 = 0 Move the constant term to the right: Add '-3.142857143' to each side of the equation. 3.142857143 + 1.285714286x + -3.142857143 + x2 = 0 + -3.142857143 Reorder the terms: 3.142857143 + -3.142857143 + 1.285714286x + x2 = 0 + -3.142857143 Combine like terms: 3.142857143 + -3.142857143 = 0.000000000 0.000000000 + 1.285714286x + x2 = 0 + -3.142857143 1.285714286x + x2 = 0 + -3.142857143 Combine like terms: 0 + -3.142857143 = -3.142857143 1.285714286x + x2 = -3.142857143 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 = -3.142857143 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286x + x2 = -3.142857143 + 0.4132653063 Combine like terms: -3.142857143 + 0.4132653063 = -2.7295918367 0.4132653063 + 1.285714286x + x2 = -2.7295918367 Factor a perfect square on the left side: (x + 0.642857143)(x + 0.642857143) = -2.7295918367 Can't calculate square root of the right side. The solution to this equation could not be determined.
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