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Simplifying 9x2 + 15x + 56 = 0 Reorder the terms: 56 + 15x + 9x2 = 0 Solving 56 + 15x + 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'. 6.222222222 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '-6.222222222' to each side of the equation. 6.222222222 + 1.666666667x + -6.222222222 + x2 = 0 + -6.222222222 Reorder the terms: 6.222222222 + -6.222222222 + 1.666666667x + x2 = 0 + -6.222222222 Combine like terms: 6.222222222 + -6.222222222 = 0.000000000 0.000000000 + 1.666666667x + x2 = 0 + -6.222222222 1.666666667x + x2 = 0 + -6.222222222 Combine like terms: 0 + -6.222222222 = -6.222222222 1.666666667x + x2 = -6.222222222 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = -6.222222222 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = -6.222222222 + 0.6944444447 Combine like terms: -6.222222222 + 0.6944444447 = -5.5277777773 0.6944444447 + 1.666666667x + x2 = -5.5277777773 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = -5.5277777773 Can't calculate square root of the right side. The solution to this equation could not be determined.
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