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Simplifying 12x2 + 15x + 10 = 0 Reorder the terms: 10 + 15x + 12x2 = 0 Solving 10 + 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'. 0.8333333333 + 1.25x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + 1.25x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + 1.25x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + 1.25x + x2 = 0 + -0.8333333333 1.25x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 1.25x + x2 = -0.8333333333 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 = -0.8333333333 + 0.390625 Reorder the terms: 0.390625 + 1.25x + x2 = -0.8333333333 + 0.390625 Combine like terms: -0.8333333333 + 0.390625 = -0.4427083333 0.390625 + 1.25x + x2 = -0.4427083333 Factor a perfect square on the left side: (x + 0.625)(x + 0.625) = -0.4427083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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