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Simplifying (12x2 + 3x) + -1(8x2 + -19) = 0 Reorder the terms: (3x + 12x2) + -1(8x2 + -19) = 0 Remove parenthesis around (3x + 12x2) 3x + 12x2 + -1(8x2 + -19) = 0 Reorder the terms: 3x + 12x2 + -1(-19 + 8x2) = 0 3x + 12x2 + (-19 * -1 + 8x2 * -1) = 0 3x + 12x2 + (19 + -8x2) = 0 Reorder the terms: 19 + 3x + 12x2 + -8x2 = 0 Combine like terms: 12x2 + -8x2 = 4x2 19 + 3x + 4x2 = 0 Solving 19 + 3x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4.75 + 0.75x + x2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + 0.75x + -4.75 + x2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + 0.75x + x2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + 0.75x + x2 = 0 + -4.75 0.75x + x2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 0.75x + x2 = -4.75 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 = -4.75 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -4.75 + 0.140625 Combine like terms: -4.75 + 0.140625 = -4.609375 0.140625 + 0.75x + x2 = -4.609375 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -4.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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