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Simplifying 12x2 + 35x + 35 = 0 Reorder the terms: 35 + 35x + 12x2 = 0 Solving 35 + 35x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 2.916666667 + 2.916666667x + x2 = 0 Move the constant term to the right: Add '-2.916666667' to each side of the equation. 2.916666667 + 2.916666667x + -2.916666667 + x2 = 0 + -2.916666667 Reorder the terms: 2.916666667 + -2.916666667 + 2.916666667x + x2 = 0 + -2.916666667 Combine like terms: 2.916666667 + -2.916666667 = 0.000000000 0.000000000 + 2.916666667x + x2 = 0 + -2.916666667 2.916666667x + x2 = 0 + -2.916666667 Combine like terms: 0 + -2.916666667 = -2.916666667 2.916666667x + x2 = -2.916666667 The x term is 2.916666667x. Take half its coefficient (1.458333334). Square it (2.126736113) and add it to both sides. Add '2.126736113' to each side of the equation. 2.916666667x + 2.126736113 + x2 = -2.916666667 + 2.126736113 Reorder the terms: 2.126736113 + 2.916666667x + x2 = -2.916666667 + 2.126736113 Combine like terms: -2.916666667 + 2.126736113 = -0.789930554 2.126736113 + 2.916666667x + x2 = -0.789930554 Factor a perfect square on the left side: (x + 1.458333334)(x + 1.458333334) = -0.789930554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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