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Simplifying (4x + 3)(3x + 4) = 16x + 8 Reorder the terms: (3 + 4x)(3x + 4) = 16x + 8 Reorder the terms: (3 + 4x)(4 + 3x) = 16x + 8 Multiply (3 + 4x) * (4 + 3x) (3(4 + 3x) + 4x * (4 + 3x)) = 16x + 8 ((4 * 3 + 3x * 3) + 4x * (4 + 3x)) = 16x + 8 ((12 + 9x) + 4x * (4 + 3x)) = 16x + 8 (12 + 9x + (4 * 4x + 3x * 4x)) = 16x + 8 (12 + 9x + (16x + 12x2)) = 16x + 8 Combine like terms: 9x + 16x = 25x (12 + 25x + 12x2) = 16x + 8 Reorder the terms: 12 + 25x + 12x2 = 8 + 16x Solving 12 + 25x + 12x2 = 8 + 16x Solving for variable 'x'. Reorder the terms: 12 + -8 + 25x + -16x + 12x2 = 8 + 16x + -8 + -16x Combine like terms: 12 + -8 = 4 4 + 25x + -16x + 12x2 = 8 + 16x + -8 + -16x Combine like terms: 25x + -16x = 9x 4 + 9x + 12x2 = 8 + 16x + -8 + -16x Reorder the terms: 4 + 9x + 12x2 = 8 + -8 + 16x + -16x Combine like terms: 8 + -8 = 0 4 + 9x + 12x2 = 0 + 16x + -16x 4 + 9x + 12x2 = 16x + -16x Combine like terms: 16x + -16x = 0 4 + 9x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.3333333333 + 0.75x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.75x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.75x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.75x + x2 = 0 + -0.3333333333 0.75x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.75x + x2 = -0.3333333333 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = -0.3333333333 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -0.3333333333 + 0.140625 Combine like terms: -0.3333333333 + 0.140625 = -0.1927083333 0.140625 + 0.75x + x2 = -0.1927083333 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -0.1927083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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