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Simplifying 5x2 + -24x + 33 = 0 Reorder the terms: 33 + -24x + 5x2 = 0 Solving 33 + -24x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.6 + -4.8x + x2 = 0 Move the constant term to the right: Add '-6.6' to each side of the equation. 6.6 + -4.8x + -6.6 + x2 = 0 + -6.6 Reorder the terms: 6.6 + -6.6 + -4.8x + x2 = 0 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + -4.8x + x2 = 0 + -6.6 -4.8x + x2 = 0 + -6.6 Combine like terms: 0 + -6.6 = -6.6 -4.8x + x2 = -6.6 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 = -6.6 + 5.76 Reorder the terms: 5.76 + -4.8x + x2 = -6.6 + 5.76 Combine like terms: -6.6 + 5.76 = -0.84 5.76 + -4.8x + x2 = -0.84 Factor a perfect square on the left side: (x + -2.4)(x + -2.4) = -0.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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