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Simplifying (-5x2 + 11x + -14) + (4x2 + -7x + -6) = 0 Reorder the terms: (-14 + 11x + -5x2) + (4x2 + -7x + -6) = 0 Remove parenthesis around (-14 + 11x + -5x2) -14 + 11x + -5x2 + (4x2 + -7x + -6) = 0 Reorder the terms: -14 + 11x + -5x2 + (-6 + -7x + 4x2) = 0 Remove parenthesis around (-6 + -7x + 4x2) -14 + 11x + -5x2 + -6 + -7x + 4x2 = 0 Reorder the terms: -14 + -6 + 11x + -7x + -5x2 + 4x2 = 0 Combine like terms: -14 + -6 = -20 -20 + 11x + -7x + -5x2 + 4x2 = 0 Combine like terms: 11x + -7x = 4x -20 + 4x + -5x2 + 4x2 = 0 Combine like terms: -5x2 + 4x2 = -1x2 -20 + 4x + -1x2 = 0 Solving -20 + 4x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 20 + -4x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -4x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -4x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4x + x2 = 0 + -20 -4x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4x + x2 = -20 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 = -20 + 4 Reorder the terms: 4 + -4x + x2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + -4x + x2 = -16 Factor a perfect square on the left side: (x + -2)(x + -2) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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