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Simplifying 2 = 3(x + -3) * x + 20 + 5x Reorder the terms: 2 = 3(-3 + x) * x + 20 + 5x Reorder the terms for easier multiplication: 2 = 3x(-3 + x) + 20 + 5x 2 = (-3 * 3x + x * 3x) + 20 + 5x 2 = (-9x + 3x2) + 20 + 5x Reorder the terms: 2 = 20 + -9x + 5x + 3x2 Combine like terms: -9x + 5x = -4x 2 = 20 + -4x + 3x2 Solving 2 = 20 + -4x + 3x2 Solving for variable 'x'. Combine like terms: 2 + -20 = -18 -18 + 4x + -3x2 = 20 + -4x + 3x2 + -20 + 4x + -3x2 Reorder the terms: -18 + 4x + -3x2 = 20 + -20 + -4x + 4x + 3x2 + -3x2 Combine like terms: 20 + -20 = 0 -18 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2 -18 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2 Combine like terms: -4x + 4x = 0 -18 + 4x + -3x2 = 0 + 3x2 + -3x2 -18 + 4x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 6 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -1.333333333x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -1.333333333x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1.333333333x + x2 = 0 + -6 -1.333333333x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1.333333333x + x2 = -6 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 = -6 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -6 + 0.4444444442 Combine like terms: -6 + 0.4444444442 = -5.5555555558 0.4444444442 + -1.333333333x + x2 = -5.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -5.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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