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Simplifying 25x2 + 18 = 40x Reorder the terms: 18 + 25x2 = 40x Solving 18 + 25x2 = 40x Solving for variable 'x'. Reorder the terms: 18 + -40x + 25x2 = 40x + -40x Combine like terms: 40x + -40x = 0 18 + -40x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.72 + -1.6x + x2 = 0 Move the constant term to the right: Add '-0.72' to each side of the equation. 0.72 + -1.6x + -0.72 + x2 = 0 + -0.72 Reorder the terms: 0.72 + -0.72 + -1.6x + x2 = 0 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + -1.6x + x2 = 0 + -0.72 -1.6x + x2 = 0 + -0.72 Combine like terms: 0 + -0.72 = -0.72 -1.6x + x2 = -0.72 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -0.72 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -0.72 + 0.64 Combine like terms: -0.72 + 0.64 = -0.08 0.64 + -1.6x + x2 = -0.08 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -0.08 Can't calculate square root of the right side. The solution to this equation could not be determined.
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