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Simplifying 3x(4 + -4x) = 5 (4 * 3x + -4x * 3x) = 5 (12x + -12x2) = 5 Solving 12x + -12x2 = 5 Solving for variable 'x'. Reorder the terms: -5 + 12x + -12x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 12x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 0.4166666667 + -1x + x2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + -1x + -0.4166666667 + x2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + -1x + x2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.4166666667 -1x + x2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 -1x + x2 = -0.4166666667 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 = -0.4166666667 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.4166666667 + 0.25 Combine like terms: -0.4166666667 + 0.25 = -0.1666666667 0.25 + -1x + x2 = -0.1666666667 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.1666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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