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Simplifying (5x2 + 6x + -2) + (-7x2 + 2x + -9) = 0 Reorder the terms: (-2 + 6x + 5x2) + (-7x2 + 2x + -9) = 0 Remove parenthesis around (-2 + 6x + 5x2) -2 + 6x + 5x2 + (-7x2 + 2x + -9) = 0 Reorder the terms: -2 + 6x + 5x2 + (-9 + 2x + -7x2) = 0 Remove parenthesis around (-9 + 2x + -7x2) -2 + 6x + 5x2 + -9 + 2x + -7x2 = 0 Reorder the terms: -2 + -9 + 6x + 2x + 5x2 + -7x2 = 0 Combine like terms: -2 + -9 = -11 -11 + 6x + 2x + 5x2 + -7x2 = 0 Combine like terms: 6x + 2x = 8x -11 + 8x + 5x2 + -7x2 = 0 Combine like terms: 5x2 + -7x2 = -2x2 -11 + 8x + -2x2 = 0 Solving -11 + 8x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 5.5 + -4x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -4x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -4x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -4x + x2 = 0 + -5.5 -4x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -4x + x2 = -5.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -5.5 + 4 Reorder the terms: 4 + -4x + x2 = -5.5 + 4 Combine like terms: -5.5 + 4 = -1.5 4 + -4x + x2 = -1.5 Factor a perfect square on the left side: (x + -2)(x + -2) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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