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Simplifying 3x2 = 4x + -4 * 9 Multiply -4 * 9 3x2 = 4x + -36 Reorder the terms: 3x2 = -36 + 4x Solving 3x2 = -36 + 4x Solving for variable 'x'. Reorder the terms: 36 + -4x + 3x2 = -36 + 4x + 36 + -4x Reorder the terms: 36 + -4x + 3x2 = -36 + 36 + 4x + -4x Combine like terms: -36 + 36 = 0 36 + -4x + 3x2 = 0 + 4x + -4x 36 + -4x + 3x2 = 4x + -4x Combine like terms: 4x + -4x = 0 36 + -4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1.333333333x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -1.333333333x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1.333333333x + x2 = 0 + -12 -1.333333333x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1.333333333x + x2 = -12 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 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -12 + 0.4444444442 Combine like terms: -12 + 0.4444444442 = -11.5555555558 0.4444444442 + -1.333333333x + x2 = -11.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -11.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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