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Simplifying 35x2 + 16x + 12 = 0 Reorder the terms: 12 + 16x + 35x2 = 0 Solving 12 + 16x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.3428571429 + 0.4571428571x + x2 = 0 Move the constant term to the right: Add '-0.3428571429' to each side of the equation. 0.3428571429 + 0.4571428571x + -0.3428571429 + x2 = 0 + -0.3428571429 Reorder the terms: 0.3428571429 + -0.3428571429 + 0.4571428571x + x2 = 0 + -0.3428571429 Combine like terms: 0.3428571429 + -0.3428571429 = 0.0000000000 0.0000000000 + 0.4571428571x + x2 = 0 + -0.3428571429 0.4571428571x + x2 = 0 + -0.3428571429 Combine like terms: 0 + -0.3428571429 = -0.3428571429 0.4571428571x + x2 = -0.3428571429 The x term is 0.4571428571x. Take half its coefficient (0.2285714286). Square it (0.05224489797) and add it to both sides. Add '0.05224489797' to each side of the equation. 0.4571428571x + 0.05224489797 + x2 = -0.3428571429 + 0.05224489797 Reorder the terms: 0.05224489797 + 0.4571428571x + x2 = -0.3428571429 + 0.05224489797 Combine like terms: -0.3428571429 + 0.05224489797 = -0.29061224493 0.05224489797 + 0.4571428571x + x2 = -0.29061224493 Factor a perfect square on the left side: (x + 0.2285714286)(x + 0.2285714286) = -0.29061224493 Can't calculate square root of the right side. The solution to this equation could not be determined.
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