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Simplifying 0 = 3x2 + -24x + 640 Reorder the terms: 0 = 640 + -24x + 3x2 Solving 0 = 640 + -24x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -640 = -640 -640 + 24x + -3x2 = 640 + -24x + 3x2 + -640 + 24x + -3x2 Reorder the terms: -640 + 24x + -3x2 = 640 + -640 + -24x + 24x + 3x2 + -3x2 Combine like terms: 640 + -640 = 0 -640 + 24x + -3x2 = 0 + -24x + 24x + 3x2 + -3x2 -640 + 24x + -3x2 = -24x + 24x + 3x2 + -3x2 Combine like terms: -24x + 24x = 0 -640 + 24x + -3x2 = 0 + 3x2 + -3x2 -640 + 24x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -640 + 24x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 213.3333333 + -8x + x2 = 0 Move the constant term to the right: Add '-213.3333333' to each side of the equation. 213.3333333 + -8x + -213.3333333 + x2 = 0 + -213.3333333 Reorder the terms: 213.3333333 + -213.3333333 + -8x + x2 = 0 + -213.3333333 Combine like terms: 213.3333333 + -213.3333333 = 0.0000000 0.0000000 + -8x + x2 = 0 + -213.3333333 -8x + x2 = 0 + -213.3333333 Combine like terms: 0 + -213.3333333 = -213.3333333 -8x + x2 = -213.3333333 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -213.3333333 + 16 Reorder the terms: 16 + -8x + x2 = -213.3333333 + 16 Combine like terms: -213.3333333 + 16 = -197.3333333 16 + -8x + x2 = -197.3333333 Factor a perfect square on the left side: (x + -4)(x + -4) = -197.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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