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Simplifying (4x2 + 4x + 5) + (2x2 + -3x + -4) = 0 Reorder the terms: (5 + 4x + 4x2) + (2x2 + -3x + -4) = 0 Remove parenthesis around (5 + 4x + 4x2) 5 + 4x + 4x2 + (2x2 + -3x + -4) = 0 Reorder the terms: 5 + 4x + 4x2 + (-4 + -3x + 2x2) = 0 Remove parenthesis around (-4 + -3x + 2x2) 5 + 4x + 4x2 + -4 + -3x + 2x2 = 0 Reorder the terms: 5 + -4 + 4x + -3x + 4x2 + 2x2 = 0 Combine like terms: 5 + -4 = 1 1 + 4x + -3x + 4x2 + 2x2 = 0 Combine like terms: 4x + -3x = 1x 1 + 1x + 4x2 + 2x2 = 0 Combine like terms: 4x2 + 2x2 = 6x2 1 + 1x + 6x2 = 0 Solving 1 + 1x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.1666666667 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + 0.1666666667x + -0.1666666667 + x2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + 0.1666666667x + x2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + 0.1666666667x + x2 = 0 + -0.1666666667 0.1666666667x + x2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 0.1666666667x + x2 = -0.1666666667 The x term is 0.1666666667x. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x + 0.006944444447 + x2 = -0.1666666667 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = -0.1666666667 + 0.006944444447 Combine like terms: -0.1666666667 + 0.006944444447 = -0.159722222253 0.006944444447 + 0.1666666667x + x2 = -0.159722222253 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = -0.159722222253 Can't calculate square root of the right side. The solution to this equation could not be determined.
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