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Simplifying 7x(4x + 9) = 6(11x + -12) Reorder the terms: 7x(9 + 4x) = 6(11x + -12) (9 * 7x + 4x * 7x) = 6(11x + -12) (63x + 28x2) = 6(11x + -12) Reorder the terms: 63x + 28x2 = 6(-12 + 11x) 63x + 28x2 = (-12 * 6 + 11x * 6) 63x + 28x2 = (-72 + 66x) Solving 63x + 28x2 = -72 + 66x Solving for variable 'x'. Reorder the terms: 72 + 63x + -66x + 28x2 = -72 + 66x + 72 + -66x Combine like terms: 63x + -66x = -3x 72 + -3x + 28x2 = -72 + 66x + 72 + -66x Reorder the terms: 72 + -3x + 28x2 = -72 + 72 + 66x + -66x Combine like terms: -72 + 72 = 0 72 + -3x + 28x2 = 0 + 66x + -66x 72 + -3x + 28x2 = 66x + -66x Combine like terms: 66x + -66x = 0 72 + -3x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 2.571428571 + -0.1071428571x + x2 = 0 Move the constant term to the right: Add '-2.571428571' to each side of the equation. 2.571428571 + -0.1071428571x + -2.571428571 + x2 = 0 + -2.571428571 Reorder the terms: 2.571428571 + -2.571428571 + -0.1071428571x + x2 = 0 + -2.571428571 Combine like terms: 2.571428571 + -2.571428571 = 0.000000000 0.000000000 + -0.1071428571x + x2 = 0 + -2.571428571 -0.1071428571x + x2 = 0 + -2.571428571 Combine like terms: 0 + -2.571428571 = -2.571428571 -0.1071428571x + x2 = -2.571428571 The x term is -0.1071428571x. Take half its coefficient (-0.05357142855). Square it (0.002869897957) and add it to both sides. Add '0.002869897957' to each side of the equation. -0.1071428571x + 0.002869897957 + x2 = -2.571428571 + 0.002869897957 Reorder the terms: 0.002869897957 + -0.1071428571x + x2 = -2.571428571 + 0.002869897957 Combine like terms: -2.571428571 + 0.002869897957 = -2.568558673043 0.002869897957 + -0.1071428571x + x2 = -2.568558673043 Factor a perfect square on the left side: (x + -0.05357142855)(x + -0.05357142855) = -2.568558673043 Can't calculate square root of the right side. The solution to this equation could not be determined.
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