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Simplifying (4x2 + -7x + -3) + (6x2 + -3x + 1) + -1(3x2 + -4x + -6) = 0 Reorder the terms: (-3 + -7x + 4x2) + (6x2 + -3x + 1) + -1(3x2 + -4x + -6) = 0 Remove parenthesis around (-3 + -7x + 4x2) -3 + -7x + 4x2 + (6x2 + -3x + 1) + -1(3x2 + -4x + -6) = 0 Reorder the terms: -3 + -7x + 4x2 + (1 + -3x + 6x2) + -1(3x2 + -4x + -6) = 0 Remove parenthesis around (1 + -3x + 6x2) -3 + -7x + 4x2 + 1 + -3x + 6x2 + -1(3x2 + -4x + -6) = 0 Reorder the terms: -3 + -7x + 4x2 + 1 + -3x + 6x2 + -1(-6 + -4x + 3x2) = 0 -3 + -7x + 4x2 + 1 + -3x + 6x2 + (-6 * -1 + -4x * -1 + 3x2 * -1) = 0 -3 + -7x + 4x2 + 1 + -3x + 6x2 + (6 + 4x + -3x2) = 0 Reorder the terms: -3 + 1 + 6 + -7x + -3x + 4x + 4x2 + 6x2 + -3x2 = 0 Combine like terms: -3 + 1 = -2 -2 + 6 + -7x + -3x + 4x + 4x2 + 6x2 + -3x2 = 0 Combine like terms: -2 + 6 = 4 4 + -7x + -3x + 4x + 4x2 + 6x2 + -3x2 = 0 Combine like terms: -7x + -3x = -10x 4 + -10x + 4x + 4x2 + 6x2 + -3x2 = 0 Combine like terms: -10x + 4x = -6x 4 + -6x + 4x2 + 6x2 + -3x2 = 0 Combine like terms: 4x2 + 6x2 = 10x2 4 + -6x + 10x2 + -3x2 = 0 Combine like terms: 10x2 + -3x2 = 7x2 4 + -6x + 7x2 = 0 Solving 4 + -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'. 0.5714285714 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -0.8571428571x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -0.8571428571x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -0.8571428571x + x2 = 0 + -0.5714285714 -0.8571428571x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -0.8571428571x + x2 = -0.5714285714 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 = -0.5714285714 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -0.5714285714 + 0.1836734694 Combine like terms: -0.5714285714 + 0.1836734694 = -0.387755102 0.1836734694 + -0.8571428571x + x2 = -0.387755102 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -0.387755102 Can't calculate square root of the right side. The solution to this equation could not be determined.
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