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Simplifying -4x(x + -2) = 3x(-2x + 3) + -2 Reorder the terms: -4x(-2 + x) = 3x(-2x + 3) + -2 (-2 * -4x + x * -4x) = 3x(-2x + 3) + -2 (8x + -4x2) = 3x(-2x + 3) + -2 Reorder the terms: 8x + -4x2 = 3x(3 + -2x) + -2 8x + -4x2 = (3 * 3x + -2x * 3x) + -2 8x + -4x2 = (9x + -6x2) + -2 Reorder the terms: 8x + -4x2 = -2 + 9x + -6x2 Solving 8x + -4x2 = -2 + 9x + -6x2 Solving for variable 'x'. Reorder the terms: 2 + 8x + -9x + -4x2 + 6x2 = -2 + 9x + -6x2 + 2 + -9x + 6x2 Combine like terms: 8x + -9x = -1x 2 + -1x + -4x2 + 6x2 = -2 + 9x + -6x2 + 2 + -9x + 6x2 Combine like terms: -4x2 + 6x2 = 2x2 2 + -1x + 2x2 = -2 + 9x + -6x2 + 2 + -9x + 6x2 Reorder the terms: 2 + -1x + 2x2 = -2 + 2 + 9x + -9x + -6x2 + 6x2 Combine like terms: -2 + 2 = 0 2 + -1x + 2x2 = 0 + 9x + -9x + -6x2 + 6x2 2 + -1x + 2x2 = 9x + -9x + -6x2 + 6x2 Combine like terms: 9x + -9x = 0 2 + -1x + 2x2 = 0 + -6x2 + 6x2 2 + -1x + 2x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 2 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x + x2 = 0 + -1 -0.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5x + x2 = -1 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1 + 0.0625 Combine like terms: -1 + 0.0625 = -0.9375 0.0625 + -0.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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