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Simplifying 5x(6 + -6x) = 49 (6 * 5x + -6x * 5x) = 49 (30x + -30x2) = 49 Solving 30x + -30x2 = 49 Solving for variable 'x'. Reorder the terms: -49 + 30x + -30x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + 30x + -30x2 = 0 Begin completing the square. Divide all terms by -30 the coefficient of the squared term: Divide each side by '-30'. 1.633333333 + -1x + x2 = 0.0 Move the constant term to the right: Add '-1.633333333' to each side of the equation. 1.633333333 + -1x + -1.633333333 + x2 = 0.0 + -1.633333333 Reorder the terms: 1.633333333 + -1.633333333 + -1x + x2 = 0.0 + -1.633333333 Combine like terms: 1.633333333 + -1.633333333 = 0.000000000 0.000000000 + -1x + x2 = 0.0 + -1.633333333 -1x + x2 = 0.0 + -1.633333333 Combine like terms: 0.0 + -1.633333333 = -1.633333333 -1x + x2 = -1.633333333 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.633333333 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.633333333 + 0.25 Combine like terms: -1.633333333 + 0.25 = -1.383333333 0.25 + -1x + x2 = -1.383333333 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.383333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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