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Simplifying 4x(3 + -2x) + -3 = 6 (3 * 4x + -2x * 4x) + -3 = 6 (12x + -8x2) + -3 = 6 Reorder the terms: -3 + 12x + -8x2 = 6 Solving -3 + 12x + -8x2 = 6 Solving for variable 'x'. Reorder the terms: -3 + -6 + 12x + -8x2 = 6 + -6 Combine like terms: -3 + -6 = -9 -9 + 12x + -8x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -9 + 12x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1.125 + -1.5x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -1.5x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -1.5x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -1.5x + x2 = 0 + -1.125 -1.5x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -1.5x + x2 = -1.125 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -1.125 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -1.125 + 0.5625 Combine like terms: -1.125 + 0.5625 = -0.5625 0.5625 + -1.5x + x2 = -0.5625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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