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Simplifying (8x2 + -4x + 1) + (3x2 + x + 5) = 0 Reorder the terms: (1 + -4x + 8x2) + (3x2 + x + 5) = 0 Remove parenthesis around (1 + -4x + 8x2) 1 + -4x + 8x2 + (3x2 + x + 5) = 0 Reorder the terms: 1 + -4x + 8x2 + (5 + x + 3x2) = 0 Remove parenthesis around (5 + x + 3x2) 1 + -4x + 8x2 + 5 + x + 3x2 = 0 Reorder the terms: 1 + 5 + -4x + x + 8x2 + 3x2 = 0 Combine like terms: 1 + 5 = 6 6 + -4x + x + 8x2 + 3x2 = 0 Combine like terms: -4x + x = -3x 6 + -3x + 8x2 + 3x2 = 0 Combine like terms: 8x2 + 3x2 = 11x2 6 + -3x + 11x2 = 0 Solving 6 + -3x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.5454545455 + -0.2727272727x + x2 = 0 Move the constant term to the right: Add '-0.5454545455' to each side of the equation. 0.5454545455 + -0.2727272727x + -0.5454545455 + x2 = 0 + -0.5454545455 Reorder the terms: 0.5454545455 + -0.5454545455 + -0.2727272727x + x2 = 0 + -0.5454545455 Combine like terms: 0.5454545455 + -0.5454545455 = 0.0000000000 0.0000000000 + -0.2727272727x + x2 = 0 + -0.5454545455 -0.2727272727x + x2 = 0 + -0.5454545455 Combine like terms: 0 + -0.5454545455 = -0.5454545455 -0.2727272727x + x2 = -0.5454545455 The x term is -0.2727272727x. Take half its coefficient (-0.1363636364). Square it (0.01859504133) and add it to both sides. Add '0.01859504133' to each side of the equation. -0.2727272727x + 0.01859504133 + x2 = -0.5454545455 + 0.01859504133 Reorder the terms: 0.01859504133 + -0.2727272727x + x2 = -0.5454545455 + 0.01859504133 Combine like terms: -0.5454545455 + 0.01859504133 = -0.52685950417 0.01859504133 + -0.2727272727x + x2 = -0.52685950417 Factor a perfect square on the left side: (x + -0.1363636364)(x + -0.1363636364) = -0.52685950417 Can't calculate square root of the right side. The solution to this equation could not be determined.
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