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Simplifying -12x2 + -6 + 7x + 9 = 155 Reorder the terms: -6 + 9 + 7x + -12x2 = 155 Combine like terms: -6 + 9 = 3 3 + 7x + -12x2 = 155 Solving 3 + 7x + -12x2 = 155 Solving for variable 'x'. Reorder the terms: 3 + -155 + 7x + -12x2 = 155 + -155 Combine like terms: 3 + -155 = -152 -152 + 7x + -12x2 = 155 + -155 Combine like terms: 155 + -155 = 0 -152 + 7x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 12.66666667 + -0.5833333333x + x2 = 0 Move the constant term to the right: Add '-12.66666667' to each side of the equation. 12.66666667 + -0.5833333333x + -12.66666667 + x2 = 0 + -12.66666667 Reorder the terms: 12.66666667 + -12.66666667 + -0.5833333333x + x2 = 0 + -12.66666667 Combine like terms: 12.66666667 + -12.66666667 = 0.00000000 0.00000000 + -0.5833333333x + x2 = 0 + -12.66666667 -0.5833333333x + x2 = 0 + -12.66666667 Combine like terms: 0 + -12.66666667 = -12.66666667 -0.5833333333x + x2 = -12.66666667 The x term is -0.5833333333x. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333x + 0.08506944446 + x2 = -12.66666667 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333x + x2 = -12.66666667 + 0.08506944446 Combine like terms: -12.66666667 + 0.08506944446 = -12.58159722554 0.08506944446 + -0.5833333333x + x2 = -12.58159722554 Factor a perfect square on the left side: (x + -0.2916666667)(x + -0.2916666667) = -12.58159722554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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