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Simplifying 7x2 + 3x = -8 Reorder the terms: 3x + 7x2 = -8 Solving 3x + 7x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 3x + 7x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 0.4285714286x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 0.4285714286x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 0.4285714286x + x2 = 0 + -1.142857143 0.4285714286x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 0.4285714286x + x2 = -1.142857143 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -1.142857143 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -1.142857143 + 0.04591836735 Combine like terms: -1.142857143 + 0.04591836735 = -1.09693877565 0.04591836735 + 0.4285714286x + x2 = -1.09693877565 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -1.09693877565 Can't calculate square root of the right side. The solution to this equation could not be determined.
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