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Simplifying 9(x + -4) + -1x(x + 3) + 8(x2 + 9) = 0 Reorder the terms: 9(-4 + x) + -1x(x + 3) + 8(x2 + 9) = 0 (-4 * 9 + x * 9) + -1x(x + 3) + 8(x2 + 9) = 0 (-36 + 9x) + -1x(x + 3) + 8(x2 + 9) = 0 Reorder the terms: -36 + 9x + -1x(3 + x) + 8(x2 + 9) = 0 -36 + 9x + (3 * -1x + x * -1x) + 8(x2 + 9) = 0 -36 + 9x + (-3x + -1x2) + 8(x2 + 9) = 0 Reorder the terms: -36 + 9x + -3x + -1x2 + 8(9 + x2) = 0 -36 + 9x + -3x + -1x2 + (9 * 8 + x2 * 8) = 0 -36 + 9x + -3x + -1x2 + (72 + 8x2) = 0 Reorder the terms: -36 + 72 + 9x + -3x + -1x2 + 8x2 = 0 Combine like terms: -36 + 72 = 36 36 + 9x + -3x + -1x2 + 8x2 = 0 Combine like terms: 9x + -3x = 6x 36 + 6x + -1x2 + 8x2 = 0 Combine like terms: -1x2 + 8x2 = 7x2 36 + 6x + 7x2 = 0 Solving 36 + 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'. 5.142857143 + 0.8571428571x + x2 = 0 Move the constant term to the right: Add '-5.142857143' to each side of the equation. 5.142857143 + 0.8571428571x + -5.142857143 + x2 = 0 + -5.142857143 Reorder the terms: 5.142857143 + -5.142857143 + 0.8571428571x + x2 = 0 + -5.142857143 Combine like terms: 5.142857143 + -5.142857143 = 0.000000000 0.000000000 + 0.8571428571x + x2 = 0 + -5.142857143 0.8571428571x + x2 = 0 + -5.142857143 Combine like terms: 0 + -5.142857143 = -5.142857143 0.8571428571x + x2 = -5.142857143 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 = -5.142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571x + x2 = -5.142857143 + 0.1836734694 Combine like terms: -5.142857143 + 0.1836734694 = -4.9591836736 0.1836734694 + 0.8571428571x + x2 = -4.9591836736 Factor a perfect square on the left side: (x + 0.4285714286)(x + 0.4285714286) = -4.9591836736 Can't calculate square root of the right side. The solution to this equation could not be determined.
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