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Simplifying 3x(3x + -4) = -16 Reorder the terms: 3x(-4 + 3x) = -16 (-4 * 3x + 3x * 3x) = -16 (-12x + 9x2) = -16 Solving -12x + 9x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + -12x + 9x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -12x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -1.333333333x + -1.777777778 + x2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -1.333333333x + x2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -1.777777778 -1.333333333x + x2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -1.333333333x + x2 = -1.777777778 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 = -1.777777778 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -1.777777778 + 0.4444444442 Combine like terms: -1.777777778 + 0.4444444442 = -1.3333333338 0.4444444442 + -1.333333333x + x2 = -1.3333333338 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.3333333338 Can't calculate square root of the right side. The solution to this equation could not be determined.
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