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Simplifying 3x(-4 + -2x) + 7x = -10x + 2(16 + -3x) (-4 * 3x + -2x * 3x) + 7x = -10x + 2(16 + -3x) (-12x + -6x2) + 7x = -10x + 2(16 + -3x) Reorder the terms: -12x + 7x + -6x2 = -10x + 2(16 + -3x) Combine like terms: -12x + 7x = -5x -5x + -6x2 = -10x + 2(16 + -3x) -5x + -6x2 = -10x + (16 * 2 + -3x * 2) -5x + -6x2 = -10x + (32 + -6x) Reorder the terms: -5x + -6x2 = 32 + -10x + -6x Combine like terms: -10x + -6x = -16x -5x + -6x2 = 32 + -16x Solving -5x + -6x2 = 32 + -16x Solving for variable 'x'. Reorder the terms: -32 + -5x + 16x + -6x2 = 32 + -16x + -32 + 16x Combine like terms: -5x + 16x = 11x -32 + 11x + -6x2 = 32 + -16x + -32 + 16x Reorder the terms: -32 + 11x + -6x2 = 32 + -32 + -16x + 16x Combine like terms: 32 + -32 = 0 -32 + 11x + -6x2 = 0 + -16x + 16x -32 + 11x + -6x2 = -16x + 16x Combine like terms: -16x + 16x = 0 -32 + 11x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 5.333333333 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + -1.833333333x + -5.333333333 + x2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + -1.833333333x + x2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + -1.833333333x + x2 = 0 + -5.333333333 -1.833333333x + x2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 -1.833333333x + x2 = -5.333333333 The x term is -1.833333333x. Take half its coefficient (-0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. -1.833333333x + 0.8402777775 + x2 = -5.333333333 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -5.333333333 + 0.8402777775 Combine like terms: -5.333333333 + 0.8402777775 = -4.4930555555 0.8402777775 + -1.833333333x + x2 = -4.4930555555 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -4.4930555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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