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Simplifying 25x2 + 37 = 60x Reorder the terms: 37 + 25x2 = 60x Solving 37 + 25x2 = 60x Solving for variable 'x'. Reorder the terms: 37 + -60x + 25x2 = 60x + -60x Combine like terms: 60x + -60x = 0 37 + -60x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.48 + -2.4x + x2 = 0 Move the constant term to the right: Add '-1.48' to each side of the equation. 1.48 + -2.4x + -1.48 + x2 = 0 + -1.48 Reorder the terms: 1.48 + -1.48 + -2.4x + x2 = 0 + -1.48 Combine like terms: 1.48 + -1.48 = 0.00 0.00 + -2.4x + x2 = 0 + -1.48 -2.4x + x2 = 0 + -1.48 Combine like terms: 0 + -1.48 = -1.48 -2.4x + x2 = -1.48 The x term is -2.4x. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4x + 1.44 + x2 = -1.48 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -1.48 + 1.44 Combine like terms: -1.48 + 1.44 = -0.04 1.44 + -2.4x + x2 = -0.04 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -0.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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