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Simplifying 9x2 + -42x + 109 = 0 Reorder the terms: 109 + -42x + 9x2 = 0 Solving 109 + -42x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 12.11111111 + -4.666666667x + x2 = 0 Move the constant term to the right: Add '-12.11111111' to each side of the equation. 12.11111111 + -4.666666667x + -12.11111111 + x2 = 0 + -12.11111111 Reorder the terms: 12.11111111 + -12.11111111 + -4.666666667x + x2 = 0 + -12.11111111 Combine like terms: 12.11111111 + -12.11111111 = 0.00000000 0.00000000 + -4.666666667x + x2 = 0 + -12.11111111 -4.666666667x + x2 = 0 + -12.11111111 Combine like terms: 0 + -12.11111111 = -12.11111111 -4.666666667x + x2 = -12.11111111 The x term is -4.666666667x. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667x + 5.444444448 + x2 = -12.11111111 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667x + x2 = -12.11111111 + 5.444444448 Combine like terms: -12.11111111 + 5.444444448 = -6.666666662 5.444444448 + -4.666666667x + x2 = -6.666666662 Factor a perfect square on the left side: (x + -2.333333334)(x + -2.333333334) = -6.666666662 Can't calculate square root of the right side. The solution to this equation could not be determined.
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