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Simplifying 25x2 + 15x + 9 = 0 Reorder the terms: 9 + 15x + 25x2 = 0 Solving 9 + 15x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.36 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + 0.6x + -0.36 + x2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + 0.6x + x2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.6x + x2 = 0 + -0.36 0.6x + x2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 0.6x + x2 = -0.36 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.36 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.36 + 0.09 Combine like terms: -0.36 + 0.09 = -0.27 0.09 + 0.6x + x2 = -0.27 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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