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Simplifying 25x2 + 37x + 36 = 0 Reorder the terms: 36 + 37x + 25x2 = 0 Solving 36 + 37x + 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'. 1.44 + 1.48x + x2 = 0 Move the constant term to the right: Add '-1.44' to each side of the equation. 1.44 + 1.48x + -1.44 + x2 = 0 + -1.44 Reorder the terms: 1.44 + -1.44 + 1.48x + x2 = 0 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + 1.48x + x2 = 0 + -1.44 1.48x + x2 = 0 + -1.44 Combine like terms: 0 + -1.44 = -1.44 1.48x + x2 = -1.44 The x term is 1.48x. Take half its coefficient (0.74). Square it (0.5476) and add it to both sides. Add '0.5476' to each side of the equation. 1.48x + 0.5476 + x2 = -1.44 + 0.5476 Reorder the terms: 0.5476 + 1.48x + x2 = -1.44 + 0.5476 Combine like terms: -1.44 + 0.5476 = -0.8924 0.5476 + 1.48x + x2 = -0.8924 Factor a perfect square on the left side: (x + 0.74)(x + 0.74) = -0.8924 Can't calculate square root of the right side. The solution to this equation could not be determined.
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