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Simplifying 5x2 + 24 = 18x Reorder the terms: 24 + 5x2 = 18x Solving 24 + 5x2 = 18x Solving for variable 'x'. Reorder the terms: 24 + -18x + 5x2 = 18x + -18x Combine like terms: 18x + -18x = 0 24 + -18x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + -3.6x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -3.6x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -3.6x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -3.6x + x2 = 0 + -4.8 -3.6x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -3.6x + x2 = -4.8 The x term is -3.6x. Take half its coefficient (-1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. -3.6x + 3.24 + x2 = -4.8 + 3.24 Reorder the terms: 3.24 + -3.6x + x2 = -4.8 + 3.24 Combine like terms: -4.8 + 3.24 = -1.56 3.24 + -3.6x + x2 = -1.56 Factor a perfect square on the left side: (x + -1.8)(x + -1.8) = -1.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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