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Simplifying (8x2 + 2x + 12) + -1(4x + -1) = 0 Reorder the terms: (12 + 2x + 8x2) + -1(4x + -1) = 0 Remove parenthesis around (12 + 2x + 8x2) 12 + 2x + 8x2 + -1(4x + -1) = 0 Reorder the terms: 12 + 2x + 8x2 + -1(-1 + 4x) = 0 12 + 2x + 8x2 + (-1 * -1 + 4x * -1) = 0 12 + 2x + 8x2 + (1 + -4x) = 0 Reorder the terms: 12 + 1 + 2x + -4x + 8x2 = 0 Combine like terms: 12 + 1 = 13 13 + 2x + -4x + 8x2 = 0 Combine like terms: 2x + -4x = -2x 13 + -2x + 8x2 = 0 Solving 13 + -2x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.625 + -0.25x + x2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + -0.25x + -1.625 + x2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + -0.25x + x2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + -0.25x + x2 = 0 + -1.625 -0.25x + x2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 -0.25x + x2 = -1.625 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -1.625 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -1.625 + 0.015625 Combine like terms: -1.625 + 0.015625 = -1.609375 0.015625 + -0.25x + x2 = -1.609375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -1.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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