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Simplifying 15 = -0.026x(x + -46) Reorder the terms: 15 = -0.026x(-46 + x) 15 = (-46 * -0.026x + x * -0.026x) 15 = (1.196x + -0.026x2) Solving 15 = 1.196x + -0.026x2 Solving for variable 'x'. Reorder the terms: 15 + -1.196x + 0.026x2 = 1.196x + -1.196x + -0.026x2 + 0.026x2 Combine like terms: 1.196x + -1.196x = 0.000 15 + -1.196x + 0.026x2 = 0.000 + -0.026x2 + 0.026x2 15 + -1.196x + 0.026x2 = -0.026x2 + 0.026x2 Combine like terms: -0.026x2 + 0.026x2 = 0.000 15 + -1.196x + 0.026x2 = 0.000 Begin completing the square. Divide all terms by 0.026 the coefficient of the squared term: Divide each side by '0.026'. 576.9230769 + -46x + x2 = 0 Move the constant term to the right: Add '-576.9230769' to each side of the equation. 576.9230769 + -46x + -576.9230769 + x2 = 0 + -576.9230769 Reorder the terms: 576.9230769 + -576.9230769 + -46x + x2 = 0 + -576.9230769 Combine like terms: 576.9230769 + -576.9230769 = 0.0000000 0.0000000 + -46x + x2 = 0 + -576.9230769 -46x + x2 = 0 + -576.9230769 Combine like terms: 0 + -576.9230769 = -576.9230769 -46x + x2 = -576.9230769 The x term is -46x. Take half its coefficient (-23). Square it (529) and add it to both sides. Add '529' to each side of the equation. -46x + 529 + x2 = -576.9230769 + 529 Reorder the terms: 529 + -46x + x2 = -576.9230769 + 529 Combine like terms: -576.9230769 + 529 = -47.9230769 529 + -46x + x2 = -47.9230769 Factor a perfect square on the left side: (x + -23)(x + -23) = -47.9230769 Can't calculate square root of the right side. The solution to this equation could not be determined.
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