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Simplifying 20.5x2 + -30x + 40 = 0 Reorder the terms: 40 + -30x + 20.5x2 = 0 Solving 40 + -30x + 20.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20.5 the coefficient of the squared term: Divide each side by '20.5'. 1.951219512 + -1.463414634x + x2 = 0 Move the constant term to the right: Add '-1.951219512' to each side of the equation. 1.951219512 + -1.463414634x + -1.951219512 + x2 = 0 + -1.951219512 Reorder the terms: 1.951219512 + -1.951219512 + -1.463414634x + x2 = 0 + -1.951219512 Combine like terms: 1.951219512 + -1.951219512 = 0.000000000 0.000000000 + -1.463414634x + x2 = 0 + -1.951219512 -1.463414634x + x2 = 0 + -1.951219512 Combine like terms: 0 + -1.951219512 = -1.951219512 -1.463414634x + x2 = -1.951219512 The x term is -1.463414634x. Take half its coefficient (-0.731707317). Square it (0.5353955978) and add it to both sides. Add '0.5353955978' to each side of the equation. -1.463414634x + 0.5353955978 + x2 = -1.951219512 + 0.5353955978 Reorder the terms: 0.5353955978 + -1.463414634x + x2 = -1.951219512 + 0.5353955978 Combine like terms: -1.951219512 + 0.5353955978 = -1.4158239142 0.5353955978 + -1.463414634x + x2 = -1.4158239142 Factor a perfect square on the left side: (x + -0.731707317)(x + -0.731707317) = -1.4158239142 Can't calculate square root of the right side. The solution to this equation could not be determined.
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