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Simplifying x2 + -36a2 + 20x + 100 = 0 Reorder the terms: 100 + -36a2 + 20x + x2 = 0 Solving 100 + -36a2 + 20x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -36a2 + 20x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -36a2 + 20x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -36a2 + 20x + x2 = 0 + -100 -36a2 + 20x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -36a2 + 20x + x2 = -100 Add '-20x' to each side of the equation. -36a2 + 20x + -20x + x2 = -100 + -20x Combine like terms: 20x + -20x = 0 -36a2 + 0 + x2 = -100 + -20x -36a2 + x2 = -100 + -20x Add '-1x2' to each side of the equation. -36a2 + x2 + -1x2 = -100 + -20x + -1x2 Combine like terms: x2 + -1x2 = 0 -36a2 + 0 = -100 + -20x + -1x2 -36a2 = -100 + -20x + -1x2 Divide each side by '-36'. a2 = 2.777777778 + 0.5555555556x + 0.02777777778x2 Simplifying a2 = 2.777777778 + 0.5555555556x + 0.02777777778x2 Reorder the terms: -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 2.777777778 + 0.5555555556x + 0.02777777778x2 + -2.777777778 + -0.5555555556x + -0.02777777778x2 Reorder the terms: -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 2.777777778 + -2.777777778 + 0.5555555556x + -0.5555555556x + 0.02777777778x2 + -0.02777777778x2 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 0.000000000 + 0.5555555556x + -0.5555555556x + 0.02777777778x2 + -0.02777777778x2 -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 0.5555555556x + -0.5555555556x + 0.02777777778x2 + -0.02777777778x2 Combine like terms: 0.5555555556x + -0.5555555556x = 0.0000000000 -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 0.0000000000 + 0.02777777778x2 + -0.02777777778x2 -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 0.02777777778x2 + -0.02777777778x2 Combine like terms: 0.02777777778x2 + -0.02777777778x2 = 0.00000000000 -2.777777778 + a2 + -0.5555555556x + -0.02777777778x2 = 0.00000000000 The solution to this equation could not be determined.
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