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Simplifying 18x + 27 = 25x2 + 36 Reorder the terms: 27 + 18x = 25x2 + 36 Reorder the terms: 27 + 18x = 36 + 25x2 Solving 27 + 18x = 36 + 25x2 Solving for variable 'x'. Reorder the terms: 27 + -36 + 18x + -25x2 = 36 + 25x2 + -36 + -25x2 Combine like terms: 27 + -36 = -9 -9 + 18x + -25x2 = 36 + 25x2 + -36 + -25x2 Reorder the terms: -9 + 18x + -25x2 = 36 + -36 + 25x2 + -25x2 Combine like terms: 36 + -36 = 0 -9 + 18x + -25x2 = 0 + 25x2 + -25x2 -9 + 18x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -9 + 18x + -25x2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 0.36 + -0.72x + x2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + -0.72x + -0.36 + x2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + -0.72x + x2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.72x + x2 = 0 + -0.36 -0.72x + x2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 -0.72x + x2 = -0.36 The x term is -0.72x. Take half its coefficient (-0.36). Square it (0.1296) and add it to both sides. Add '0.1296' to each side of the equation. -0.72x + 0.1296 + x2 = -0.36 + 0.1296 Reorder the terms: 0.1296 + -0.72x + x2 = -0.36 + 0.1296 Combine like terms: -0.36 + 0.1296 = -0.2304 0.1296 + -0.72x + x2 = -0.2304 Factor a perfect square on the left side: (x + -0.36)(x + -0.36) = -0.2304 Can't calculate square root of the right side. The solution to this equation could not be determined.
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