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Simplifying 5x + 4 = 3(2x + -1) * x + 77 Reorder the terms: 4 + 5x = 3(2x + -1) * x + 77 Reorder the terms: 4 + 5x = 3(-1 + 2x) * x + 77 Reorder the terms for easier multiplication: 4 + 5x = 3x(-1 + 2x) + 77 4 + 5x = (-1 * 3x + 2x * 3x) + 77 4 + 5x = (-3x + 6x2) + 77 Reorder the terms: 4 + 5x = 77 + -3x + 6x2 Solving 4 + 5x = 77 + -3x + 6x2 Solving for variable 'x'. Reorder the terms: 4 + -77 + 5x + 3x + -6x2 = 77 + -3x + 6x2 + -77 + 3x + -6x2 Combine like terms: 4 + -77 = -73 -73 + 5x + 3x + -6x2 = 77 + -3x + 6x2 + -77 + 3x + -6x2 Combine like terms: 5x + 3x = 8x -73 + 8x + -6x2 = 77 + -3x + 6x2 + -77 + 3x + -6x2 Reorder the terms: -73 + 8x + -6x2 = 77 + -77 + -3x + 3x + 6x2 + -6x2 Combine like terms: 77 + -77 = 0 -73 + 8x + -6x2 = 0 + -3x + 3x + 6x2 + -6x2 -73 + 8x + -6x2 = -3x + 3x + 6x2 + -6x2 Combine like terms: -3x + 3x = 0 -73 + 8x + -6x2 = 0 + 6x2 + -6x2 -73 + 8x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -73 + 8x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 12.16666667 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-12.16666667' to each side of the equation. 12.16666667 + -1.333333333x + -12.16666667 + x2 = 0 + -12.16666667 Reorder the terms: 12.16666667 + -12.16666667 + -1.333333333x + x2 = 0 + -12.16666667 Combine like terms: 12.16666667 + -12.16666667 = 0.00000000 0.00000000 + -1.333333333x + x2 = 0 + -12.16666667 -1.333333333x + x2 = 0 + -12.16666667 Combine like terms: 0 + -12.16666667 = -12.16666667 -1.333333333x + x2 = -12.16666667 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -12.16666667 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -12.16666667 + 0.4444444442 Combine like terms: -12.16666667 + 0.4444444442 = -11.7222222258 0.4444444442 + -1.333333333x + x2 = -11.7222222258 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -11.7222222258 Can't calculate square root of the right side. The solution to this equation could not be determined.
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