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Simplifying (x) = 9x2 + -5x + 4 x = 9x2 + -5x + 4 Reorder the terms: x = 4 + -5x + 9x2 Solving x = 4 + -5x + 9x2 Solving for variable 'x'. Reorder the terms: -4 + x + 5x + -9x2 = 4 + -5x + 9x2 + -4 + 5x + -9x2 Combine like terms: x + 5x = 6x -4 + 6x + -9x2 = 4 + -5x + 9x2 + -4 + 5x + -9x2 Reorder the terms: -4 + 6x + -9x2 = 4 + -4 + -5x + 5x + 9x2 + -9x2 Combine like terms: 4 + -4 = 0 -4 + 6x + -9x2 = 0 + -5x + 5x + 9x2 + -9x2 -4 + 6x + -9x2 = -5x + 5x + 9x2 + -9x2 Combine like terms: -5x + 5x = 0 -4 + 6x + -9x2 = 0 + 9x2 + -9x2 -4 + 6x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4 + 6x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.4444444444 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.6666666667x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.6666666667x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.4444444444 -0.6666666667x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.6666666667x + x2 = -0.4444444444 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 = -0.4444444444 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.4444444444 + 0.1111111112 Combine like terms: -0.4444444444 + 0.1111111112 = -0.3333333332 0.1111111112 + -0.6666666667x + x2 = -0.3333333332 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.3333333332 Can't calculate square root of the right side. The solution to this equation could not be determined.
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