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Simplifying 5 + -2(3x2 + -2x) = x2 + 7 + -2x Reorder the terms: 5 + -2(-2x + 3x2) = x2 + 7 + -2x 5 + (-2x * -2 + 3x2 * -2) = x2 + 7 + -2x 5 + (4x + -6x2) = x2 + 7 + -2x Reorder the terms: 5 + 4x + -6x2 = 7 + -2x + x2 Solving 5 + 4x + -6x2 = 7 + -2x + x2 Solving for variable 'x'. Reorder the terms: 5 + -7 + 4x + 2x + -6x2 + -1x2 = 7 + -2x + x2 + -7 + 2x + -1x2 Combine like terms: 5 + -7 = -2 -2 + 4x + 2x + -6x2 + -1x2 = 7 + -2x + x2 + -7 + 2x + -1x2 Combine like terms: 4x + 2x = 6x -2 + 6x + -6x2 + -1x2 = 7 + -2x + x2 + -7 + 2x + -1x2 Combine like terms: -6x2 + -1x2 = -7x2 -2 + 6x + -7x2 = 7 + -2x + x2 + -7 + 2x + -1x2 Reorder the terms: -2 + 6x + -7x2 = 7 + -7 + -2x + 2x + x2 + -1x2 Combine like terms: 7 + -7 = 0 -2 + 6x + -7x2 = 0 + -2x + 2x + x2 + -1x2 -2 + 6x + -7x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 -2 + 6x + -7x2 = 0 + x2 + -1x2 -2 + 6x + -7x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 6x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.2857142857 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.8571428571x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.8571428571x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.8571428571x + x2 = 0 + -0.2857142857 -0.8571428571x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.8571428571x + x2 = -0.2857142857 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 = -0.2857142857 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -0.2857142857 + 0.1836734694 Combine like terms: -0.2857142857 + 0.1836734694 = -0.1020408163 0.1836734694 + -0.8571428571x + x2 = -0.1020408163 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -0.1020408163 Can't calculate square root of the right side. The solution to this equation could not be determined.
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