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Simplifying 39x2 + -18x + 20 = 0 Reorder the terms: 20 + -18x + 39x2 = 0 Solving 20 + -18x + 39x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 39 the coefficient of the squared term: Divide each side by '39'. 0.5128205128 + -0.4615384615x + x2 = 0 Move the constant term to the right: Add '-0.5128205128' to each side of the equation. 0.5128205128 + -0.4615384615x + -0.5128205128 + x2 = 0 + -0.5128205128 Reorder the terms: 0.5128205128 + -0.5128205128 + -0.4615384615x + x2 = 0 + -0.5128205128 Combine like terms: 0.5128205128 + -0.5128205128 = 0.0000000000 0.0000000000 + -0.4615384615x + x2 = 0 + -0.5128205128 -0.4615384615x + x2 = 0 + -0.5128205128 Combine like terms: 0 + -0.5128205128 = -0.5128205128 -0.4615384615x + x2 = -0.5128205128 The x term is -0.4615384615x. Take half its coefficient (-0.2307692308). Square it (0.05325443788) and add it to both sides. Add '0.05325443788' to each side of the equation. -0.4615384615x + 0.05325443788 + x2 = -0.5128205128 + 0.05325443788 Reorder the terms: 0.05325443788 + -0.4615384615x + x2 = -0.5128205128 + 0.05325443788 Combine like terms: -0.5128205128 + 0.05325443788 = -0.45956607492 0.05325443788 + -0.4615384615x + x2 = -0.45956607492 Factor a perfect square on the left side: (x + -0.2307692308)(x + -0.2307692308) = -0.45956607492 Can't calculate square root of the right side. The solution to this equation could not be determined.
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