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Simplifying 5x + -3x(3x + -1) = 3 + -1(2x + -1) Reorder the terms: 5x + -3x(-1 + 3x) = 3 + -1(2x + -1) 5x + (-1 * -3x + 3x * -3x) = 3 + -1(2x + -1) 5x + (3x + -9x2) = 3 + -1(2x + -1) Combine like terms: 5x + 3x = 8x 8x + -9x2 = 3 + -1(2x + -1) Reorder the terms: 8x + -9x2 = 3 + -1(-1 + 2x) 8x + -9x2 = 3 + (-1 * -1 + 2x * -1) 8x + -9x2 = 3 + (1 + -2x) Combine like terms: 3 + 1 = 4 8x + -9x2 = 4 + -2x Solving 8x + -9x2 = 4 + -2x Solving for variable 'x'. Reorder the terms: -4 + 8x + 2x + -9x2 = 4 + -2x + -4 + 2x Combine like terms: 8x + 2x = 10x -4 + 10x + -9x2 = 4 + -2x + -4 + 2x Reorder the terms: -4 + 10x + -9x2 = 4 + -4 + -2x + 2x Combine like terms: 4 + -4 = 0 -4 + 10x + -9x2 = 0 + -2x + 2x -4 + 10x + -9x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 10x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.4444444444 + -1.111111111x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -1.111111111x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -1.111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -1.111111111x + x2 = 0 + -0.4444444444 -1.111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -1.111111111x + x2 = -0.4444444444 The x term is -1.111111111x. Take half its coefficient (-0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. -1.111111111x + 0.3086419752 + x2 = -0.4444444444 + 0.3086419752 Reorder the terms: 0.3086419752 + -1.111111111x + x2 = -0.4444444444 + 0.3086419752 Combine like terms: -0.4444444444 + 0.3086419752 = -0.1358024692 0.3086419752 + -1.111111111x + x2 = -0.1358024692 Factor a perfect square on the left side: (x + -0.5555555555)(x + -0.5555555555) = -0.1358024692 Can't calculate square root of the right side. The solution to this equation could not be determined.
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