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Simplifying 3x * 3x + 14x + 15 = 0 Reorder the terms for easier multiplication: 3 * 3x * x + 14x + 15 = 0 Multiply 3 * 3 9x * x + 14x + 15 = 0 Multiply x * x 9x2 + 14x + 15 = 0 Reorder the terms: 15 + 14x + 9x2 = 0 Solving 15 + 14x + 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'. 1.666666667 + 1.555555556x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + 1.555555556x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + 1.555555556x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + 1.555555556x + x2 = 0 + -1.666666667 1.555555556x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 1.555555556x + x2 = -1.666666667 The x term is 1.555555556x. Take half its coefficient (0.777777778). Square it (0.6049382720) and add it to both sides. Add '0.6049382720' to each side of the equation. 1.555555556x + 0.6049382720 + x2 = -1.666666667 + 0.6049382720 Reorder the terms: 0.6049382720 + 1.555555556x + x2 = -1.666666667 + 0.6049382720 Combine like terms: -1.666666667 + 0.6049382720 = -1.061728395 0.6049382720 + 1.555555556x + x2 = -1.061728395 Factor a perfect square on the left side: (x + 0.777777778)(x + 0.777777778) = -1.061728395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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