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Simplifying x2 + -36a2 + 6x + 9 = 0 Reorder the terms: 9 + -36a2 + 6x + x2 = 0 Solving 9 + -36a2 + 6x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -36a2 + 6x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -36a2 + 6x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -36a2 + 6x + x2 = 0 + -9 -36a2 + 6x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -36a2 + 6x + x2 = -9 Add '-6x' to each side of the equation. -36a2 + 6x + -6x + x2 = -9 + -6x Combine like terms: 6x + -6x = 0 -36a2 + 0 + x2 = -9 + -6x -36a2 + x2 = -9 + -6x Add '-1x2' to each side of the equation. -36a2 + x2 + -1x2 = -9 + -6x + -1x2 Combine like terms: x2 + -1x2 = 0 -36a2 + 0 = -9 + -6x + -1x2 -36a2 = -9 + -6x + -1x2 Divide each side by '-36'. a2 = 0.25 + 0.1666666667x + 0.02777777778x2 Simplifying a2 = 0.25 + 0.1666666667x + 0.02777777778x2 Reorder the terms: -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.25 + 0.1666666667x + 0.02777777778x2 + -0.25 + -0.1666666667x + -0.02777777778x2 Reorder the terms: -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.25 + -0.25 + 0.1666666667x + -0.1666666667x + 0.02777777778x2 + -0.02777777778x2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.00 + 0.1666666667x + -0.1666666667x + 0.02777777778x2 + -0.02777777778x2 -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.1666666667x + -0.1666666667x + 0.02777777778x2 + -0.02777777778x2 Combine like terms: 0.1666666667x + -0.1666666667x = 0.0000000000 -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.0000000000 + 0.02777777778x2 + -0.02777777778x2 -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.02777777778x2 + -0.02777777778x2 Combine like terms: 0.02777777778x2 + -0.02777777778x2 = 0.00000000000 -0.25 + a2 + -0.1666666667x + -0.02777777778x2 = 0.00000000000 The solution to this equation could not be determined.
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