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Simplifying 53.3x2 + -63.96x + 19.88 = 0 Reorder the terms: 19.88 + -63.96x + 53.3x2 = 0 Solving 19.88 + -63.96x + 53.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 53.3 the coefficient of the squared term: Divide each side by '53.3'. 0.3729831144 + -1.2x + x2 = 0 Move the constant term to the right: Add '-0.3729831144' to each side of the equation. 0.3729831144 + -1.2x + -0.3729831144 + x2 = 0 + -0.3729831144 Reorder the terms: 0.3729831144 + -0.3729831144 + -1.2x + x2 = 0 + -0.3729831144 Combine like terms: 0.3729831144 + -0.3729831144 = 0.0000000000 0.0000000000 + -1.2x + x2 = 0 + -0.3729831144 -1.2x + x2 = 0 + -0.3729831144 Combine like terms: 0 + -0.3729831144 = -0.3729831144 -1.2x + x2 = -0.3729831144 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -0.3729831144 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -0.3729831144 + 0.36 Combine like terms: -0.3729831144 + 0.36 = -0.0129831144 0.36 + -1.2x + x2 = -0.0129831144 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -0.0129831144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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