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Simplifying 24x2 + 4x + 15 = 0 Reorder the terms: 15 + 4x + 24x2 = 0 Solving 15 + 4x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.625 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.1666666667x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.1666666667x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.1666666667x + x2 = 0 + -0.625 0.1666666667x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.1666666667x + x2 = -0.625 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 = -0.625 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = -0.625 + 0.006944444447 Combine like terms: -0.625 + 0.006944444447 = -0.618055555553 0.006944444447 + 0.1666666667x + x2 = -0.618055555553 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = -0.618055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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