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Simplifying 15x2 + 16x + 15 = 0 Reorder the terms: 15 + 16x + 15x2 = 0 Solving 15 + 16x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1 + 1.066666667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.066666667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.066666667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.066666667x + x2 = 0 + -1 1.066666667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.066666667x + x2 = -1 The x term is 1.066666667x. Take half its coefficient (0.5333333335). Square it (0.2844444446) and add it to both sides. Add '0.2844444446' to each side of the equation. 1.066666667x + 0.2844444446 + x2 = -1 + 0.2844444446 Reorder the terms: 0.2844444446 + 1.066666667x + x2 = -1 + 0.2844444446 Combine like terms: -1 + 0.2844444446 = -0.7155555554 0.2844444446 + 1.066666667x + x2 = -0.7155555554 Factor a perfect square on the left side: (x + 0.5333333335)(x + 0.5333333335) = -0.7155555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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