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Simplifying 15n2 + -12n + 25 = 0 Reorder the terms: 25 + -12n + 15n2 = 0 Solving 25 + -12n + 15n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.666666667 + -0.8n + n2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -0.8n + -1.666666667 + n2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -0.8n + n2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -0.8n + n2 = 0 + -1.666666667 -0.8n + n2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -0.8n + n2 = -1.666666667 The n term is -0.8n. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8n + 0.16 + n2 = -1.666666667 + 0.16 Reorder the terms: 0.16 + -0.8n + n2 = -1.666666667 + 0.16 Combine like terms: -1.666666667 + 0.16 = -1.506666667 0.16 + -0.8n + n2 = -1.506666667 Factor a perfect square on the left side: (n + -0.4)(n + -0.4) = -1.506666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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