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Simplifying 4x2 + 4x + 4 + 2x2 + -7x + 2 + 2x + 3 = 0 Reorder the terms: 4 + 2 + 3 + 4x + -7x + 2x + 4x2 + 2x2 = 0 Combine like terms: 4 + 2 = 6 6 + 3 + 4x + -7x + 2x + 4x2 + 2x2 = 0 Combine like terms: 6 + 3 = 9 9 + 4x + -7x + 2x + 4x2 + 2x2 = 0 Combine like terms: 4x + -7x = -3x 9 + -3x + 2x + 4x2 + 2x2 = 0 Combine like terms: -3x + 2x = -1x 9 + -1x + 4x2 + 2x2 = 0 Combine like terms: 4x2 + 2x2 = 6x2 9 + -1x + 6x2 = 0 Solving 9 + -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'. 1.5 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.1666666667x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.1666666667x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.1666666667x + x2 = 0 + -1.5 -0.1666666667x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.1666666667x + x2 = -1.5 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 = -1.5 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -1.5 + 0.006944444447 Combine like terms: -1.5 + 0.006944444447 = -1.493055555553 0.006944444447 + -0.1666666667x + x2 = -1.493055555553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -1.493055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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