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Simplifying (4x + -1)(x + 3) = (4x) * 2 + -7 Reorder the terms: (-1 + 4x)(x + 3) = (4x) * 2 + -7 Reorder the terms: (-1 + 4x)(3 + x) = (4x) * 2 + -7 Multiply (-1 + 4x) * (3 + x) (-1(3 + x) + 4x * (3 + x)) = (4x) * 2 + -7 ((3 * -1 + x * -1) + 4x * (3 + x)) = (4x) * 2 + -7 ((-3 + -1x) + 4x * (3 + x)) = (4x) * 2 + -7 (-3 + -1x + (3 * 4x + x * 4x)) = (4x) * 2 + -7 (-3 + -1x + (12x + 4x2)) = (4x) * 2 + -7 Combine like terms: -1x + 12x = 11x (-3 + 11x + 4x2) = (4x) * 2 + -7 Remove parenthesis around (4x) -3 + 11x + 4x2 = 4x * 2 + -7 Reorder the terms for easier multiplication: -3 + 11x + 4x2 = 4 * 2x + -7 Multiply 4 * 2 -3 + 11x + 4x2 = 8x + -7 Reorder the terms: -3 + 11x + 4x2 = -7 + 8x Solving -3 + 11x + 4x2 = -7 + 8x Solving for variable 'x'. Reorder the terms: -3 + 7 + 11x + -8x + 4x2 = -7 + 8x + 7 + -8x Combine like terms: -3 + 7 = 4 4 + 11x + -8x + 4x2 = -7 + 8x + 7 + -8x Combine like terms: 11x + -8x = 3x 4 + 3x + 4x2 = -7 + 8x + 7 + -8x Reorder the terms: 4 + 3x + 4x2 = -7 + 7 + 8x + -8x Combine like terms: -7 + 7 = 0 4 + 3x + 4x2 = 0 + 8x + -8x 4 + 3x + 4x2 = 8x + -8x Combine like terms: 8x + -8x = 0 4 + 3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 0.75x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.75x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.75x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.75x + x2 = 0 + -1 0.75x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.75x + x2 = -1 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 = -1 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -1 + 0.140625 Combine like terms: -1 + 0.140625 = -0.859375 0.140625 + 0.75x + x2 = -0.859375 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -0.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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