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Simplifying 36x2 + 24x = -85 Reorder the terms: 24x + 36x2 = -85 Solving 24x + 36x2 = -85 Solving for variable 'x'. Reorder the terms: 85 + 24x + 36x2 = -85 + 85 Combine like terms: -85 + 85 = 0 85 + 24x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 2.361111111 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-2.361111111' to each side of the equation. 2.361111111 + 0.6666666667x + -2.361111111 + x2 = 0 + -2.361111111 Reorder the terms: 2.361111111 + -2.361111111 + 0.6666666667x + x2 = 0 + -2.361111111 Combine like terms: 2.361111111 + -2.361111111 = 0.000000000 0.000000000 + 0.6666666667x + x2 = 0 + -2.361111111 0.6666666667x + x2 = 0 + -2.361111111 Combine like terms: 0 + -2.361111111 = -2.361111111 0.6666666667x + x2 = -2.361111111 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 = -2.361111111 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -2.361111111 + 0.1111111112 Combine like terms: -2.361111111 + 0.1111111112 = -2.2499999998 0.1111111112 + 0.6666666667x + x2 = -2.2499999998 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -2.2499999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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