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Simplifying 6x + -3x2 + -8 + -4x2 + -7 + 1 = 0 Reorder the terms: -8 + -7 + 1 + 6x + -3x2 + -4x2 = 0 Combine like terms: -8 + -7 = -15 -15 + 1 + 6x + -3x2 + -4x2 = 0 Combine like terms: -15 + 1 = -14 -14 + 6x + -3x2 + -4x2 = 0 Combine like terms: -3x2 + -4x2 = -7x2 -14 + 6x + -7x2 = 0 Solving -14 + 6x + -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'. 2 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.8571428571x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.8571428571x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.8571428571x + x2 = 0 + -2 -0.8571428571x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.8571428571x + x2 = -2 The x term is -0.8571428571x. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571x + 0.1836734694 + x2 = -2 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -2 + 0.1836734694 Combine like terms: -2 + 0.1836734694 = -1.8163265306 0.1836734694 + -0.8571428571x + x2 = -1.8163265306 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -1.8163265306 Can't calculate square root of the right side. The solution to this equation could not be determined.
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