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Simplifying 12x2 + 15x + 14 = 0 Reorder the terms: 14 + 15x + 12x2 = 0 Solving 14 + 15x + 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'. 1.166666667 + 1.25x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 1.25x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 1.25x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 1.25x + x2 = 0 + -1.166666667 1.25x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 1.25x + x2 = -1.166666667 The x term is 1.25x. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25x + 0.390625 + x2 = -1.166666667 + 0.390625 Reorder the terms: 0.390625 + 1.25x + x2 = -1.166666667 + 0.390625 Combine like terms: -1.166666667 + 0.390625 = -0.776041667 0.390625 + 1.25x + x2 = -0.776041667 Factor a perfect square on the left side: (x + 0.625)(x + 0.625) = -0.776041667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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