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Simplifying 6x + (6x + -9) + 3x(6x) = -80 Reorder the terms: 6x + (-9 + 6x) + 3x(6x) = -80 Remove parenthesis around (-9 + 6x) 6x + -9 + 6x + 3x(6x) = -80 Remove parenthesis around (6x) 6x + -9 + 6x + 3x * 6x = -80 Reorder the terms for easier multiplication: 6x + -9 + 6x + 3 * 6x * x = -80 Multiply 3 * 6 6x + -9 + 6x + 18x * x = -80 Multiply x * x 6x + -9 + 6x + 18x2 = -80 Reorder the terms: -9 + 6x + 6x + 18x2 = -80 Combine like terms: 6x + 6x = 12x -9 + 12x + 18x2 = -80 Solving -9 + 12x + 18x2 = -80 Solving for variable 'x'. Reorder the terms: -9 + 80 + 12x + 18x2 = -80 + 80 Combine like terms: -9 + 80 = 71 71 + 12x + 18x2 = -80 + 80 Combine like terms: -80 + 80 = 0 71 + 12x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 3.944444444 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-3.944444444' to each side of the equation. 3.944444444 + 0.6666666667x + -3.944444444 + x2 = 0 + -3.944444444 Reorder the terms: 3.944444444 + -3.944444444 + 0.6666666667x + x2 = 0 + -3.944444444 Combine like terms: 3.944444444 + -3.944444444 = 0.000000000 0.000000000 + 0.6666666667x + x2 = 0 + -3.944444444 0.6666666667x + x2 = 0 + -3.944444444 Combine like terms: 0 + -3.944444444 = -3.944444444 0.6666666667x + x2 = -3.944444444 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = -3.944444444 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -3.944444444 + 0.1111111112 Combine like terms: -3.944444444 + 0.1111111112 = -3.8333333328 0.1111111112 + 0.6666666667x + x2 = -3.8333333328 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -3.8333333328 Can't calculate square root of the right side. The solution to this equation could not be determined.
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