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Simplifying (9x2 + 8x + -2) + (-5x2 + -7x + 3) = 0 Reorder the terms: (-2 + 8x + 9x2) + (-5x2 + -7x + 3) = 0 Remove parenthesis around (-2 + 8x + 9x2) -2 + 8x + 9x2 + (-5x2 + -7x + 3) = 0 Reorder the terms: -2 + 8x + 9x2 + (3 + -7x + -5x2) = 0 Remove parenthesis around (3 + -7x + -5x2) -2 + 8x + 9x2 + 3 + -7x + -5x2 = 0 Reorder the terms: -2 + 3 + 8x + -7x + 9x2 + -5x2 = 0 Combine like terms: -2 + 3 = 1 1 + 8x + -7x + 9x2 + -5x2 = 0 Combine like terms: 8x + -7x = 1x 1 + 1x + 9x2 + -5x2 = 0 Combine like terms: 9x2 + -5x2 = 4x2 1 + 1x + 4x2 = 0 Solving 1 + 1x + 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'. 0.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.25x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.25x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.25x + x2 = 0 + -0.25 0.25x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.25x + x2 = -0.25 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 = -0.25 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -0.25 + 0.015625 Combine like terms: -0.25 + 0.015625 = -0.234375 0.015625 + 0.25x + x2 = -0.234375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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