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Simplifying 5x2 + 36 = 24x Reorder the terms: 36 + 5x2 = 24x Solving 36 + 5x2 = 24x Solving for variable 'x'. Reorder the terms: 36 + -24x + 5x2 = 24x + -24x Combine like terms: 24x + -24x = 0 36 + -24x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.2 + -4.8x + x2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + -4.8x + -7.2 + x2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + -4.8x + x2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -4.8x + x2 = 0 + -7.2 -4.8x + x2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 -4.8x + x2 = -7.2 The x term is -4.8x. Take half its coefficient (-2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. -4.8x + 5.76 + x2 = -7.2 + 5.76 Reorder the terms: 5.76 + -4.8x + x2 = -7.2 + 5.76 Combine like terms: -7.2 + 5.76 = -1.44 5.76 + -4.8x + x2 = -1.44 Factor a perfect square on the left side: (x + -2.4)(x + -2.4) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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