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Simplifying 9x2 + 24x + 144 = 20 Reorder the terms: 144 + 24x + 9x2 = 20 Solving 144 + 24x + 9x2 = 20 Solving for variable 'x'. Reorder the terms: 144 + -20 + 24x + 9x2 = 20 + -20 Combine like terms: 144 + -20 = 124 124 + 24x + 9x2 = 20 + -20 Combine like terms: 20 + -20 = 0 124 + 24x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 13.77777778 + 2.666666667x + x2 = 0 Move the constant term to the right: Add '-13.77777778' to each side of the equation. 13.77777778 + 2.666666667x + -13.77777778 + x2 = 0 + -13.77777778 Reorder the terms: 13.77777778 + -13.77777778 + 2.666666667x + x2 = 0 + -13.77777778 Combine like terms: 13.77777778 + -13.77777778 = 0.00000000 0.00000000 + 2.666666667x + x2 = 0 + -13.77777778 2.666666667x + x2 = 0 + -13.77777778 Combine like terms: 0 + -13.77777778 = -13.77777778 2.666666667x + x2 = -13.77777778 The x term is 2.666666667x. Take half its coefficient (1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. 2.666666667x + 1.777777780 + x2 = -13.77777778 + 1.777777780 Reorder the terms: 1.777777780 + 2.666666667x + x2 = -13.77777778 + 1.777777780 Combine like terms: -13.77777778 + 1.777777780 = -12 1.777777780 + 2.666666667x + x2 = -12 Factor a perfect square on the left side: (x + 1.333333334)(x + 1.333333334) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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