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Simplifying (2x + 3)(2x + 3) = x(1 + -3x) Reorder the terms: (3 + 2x)(2x + 3) = x(1 + -3x) Reorder the terms: (3 + 2x)(3 + 2x) = x(1 + -3x) Multiply (3 + 2x) * (3 + 2x) (3(3 + 2x) + 2x * (3 + 2x)) = x(1 + -3x) ((3 * 3 + 2x * 3) + 2x * (3 + 2x)) = x(1 + -3x) ((9 + 6x) + 2x * (3 + 2x)) = x(1 + -3x) (9 + 6x + (3 * 2x + 2x * 2x)) = x(1 + -3x) (9 + 6x + (6x + 4x2)) = x(1 + -3x) Combine like terms: 6x + 6x = 12x (9 + 12x + 4x2) = x(1 + -3x) 9 + 12x + 4x2 = (1 * x + -3x * x) 9 + 12x + 4x2 = (1x + -3x2) Solving 9 + 12x + 4x2 = 1x + -3x2 Solving for variable 'x'. Reorder the terms: 9 + 12x + -1x + 4x2 + 3x2 = 1x + -3x2 + -1x + 3x2 Combine like terms: 12x + -1x = 11x 9 + 11x + 4x2 + 3x2 = 1x + -3x2 + -1x + 3x2 Combine like terms: 4x2 + 3x2 = 7x2 9 + 11x + 7x2 = 1x + -3x2 + -1x + 3x2 Reorder the terms: 9 + 11x + 7x2 = 1x + -1x + -3x2 + 3x2 Combine like terms: 1x + -1x = 0 9 + 11x + 7x2 = 0 + -3x2 + 3x2 9 + 11x + 7x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 9 + 11x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + 1.571428571x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 1.571428571x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 1.571428571x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 1.571428571x + x2 = 0 + -1.285714286 1.571428571x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 1.571428571x + x2 = -1.285714286 The x term is 1.571428571x. Take half its coefficient (0.7857142855). Square it (0.6173469384) and add it to both sides. Add '0.6173469384' to each side of the equation. 1.571428571x + 0.6173469384 + x2 = -1.285714286 + 0.6173469384 Reorder the terms: 0.6173469384 + 1.571428571x + x2 = -1.285714286 + 0.6173469384 Combine like terms: -1.285714286 + 0.6173469384 = -0.6683673476 0.6173469384 + 1.571428571x + x2 = -0.6683673476 Factor a perfect square on the left side: (x + 0.7857142855)(x + 0.7857142855) = -0.6683673476 Can't calculate square root of the right side. The solution to this equation could not be determined.
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