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Simplifying 16x * x + 15x + 25 = 0 Multiply x * x 16x2 + 15x + 25 = 0 Reorder the terms: 25 + 15x + 16x2 = 0 Solving 25 + 15x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + 0.9375x + x2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 0.9375x + -1.5625 + x2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 0.9375x + x2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 0.9375x + x2 = 0 + -1.5625 0.9375x + x2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 0.9375x + x2 = -1.5625 The x term is 0.9375x. Take half its coefficient (0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. 0.9375x + 0.2197265625 + x2 = -1.5625 + 0.2197265625 Reorder the terms: 0.2197265625 + 0.9375x + x2 = -1.5625 + 0.2197265625 Combine like terms: -1.5625 + 0.2197265625 = -1.3427734375 0.2197265625 + 0.9375x + x2 = -1.3427734375 Factor a perfect square on the left side: (x + 0.46875)(x + 0.46875) = -1.3427734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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