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Simplifying 0 = 3x2 + -22x + 11351 Reorder the terms: 0 = 11351 + -22x + 3x2 Solving 0 = 11351 + -22x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -11351 = -11351 -11351 + 22x + -3x2 = 11351 + -22x + 3x2 + -11351 + 22x + -3x2 Reorder the terms: -11351 + 22x + -3x2 = 11351 + -11351 + -22x + 22x + 3x2 + -3x2 Combine like terms: 11351 + -11351 = 0 -11351 + 22x + -3x2 = 0 + -22x + 22x + 3x2 + -3x2 -11351 + 22x + -3x2 = -22x + 22x + 3x2 + -3x2 Combine like terms: -22x + 22x = 0 -11351 + 22x + -3x2 = 0 + 3x2 + -3x2 -11351 + 22x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -11351 + 22x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3783.666667 + -7.333333333x + x2 = 0 Move the constant term to the right: Add '-3783.666667' to each side of the equation. 3783.666667 + -7.333333333x + -3783.666667 + x2 = 0 + -3783.666667 Reorder the terms: 3783.666667 + -3783.666667 + -7.333333333x + x2 = 0 + -3783.666667 Combine like terms: 3783.666667 + -3783.666667 = 0.000000 0.000000 + -7.333333333x + x2 = 0 + -3783.666667 -7.333333333x + x2 = 0 + -3783.666667 Combine like terms: 0 + -3783.666667 = -3783.666667 -7.333333333x + x2 = -3783.666667 The x term is -7.333333333x. Take half its coefficient (-3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. -7.333333333x + 13.44444445 + x2 = -3783.666667 + 13.44444445 Reorder the terms: 13.44444445 + -7.333333333x + x2 = -3783.666667 + 13.44444445 Combine like terms: -3783.666667 + 13.44444445 = -3770.22222255 13.44444445 + -7.333333333x + x2 = -3770.22222255 Factor a perfect square on the left side: (x + -3.666666667)(x + -3.666666667) = -3770.22222255 Can't calculate square root of the right side. The solution to this equation could not be determined.
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