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Simplifying (-8a3 + 6b2 + 4b + -8) + -1(a3 + -4b2 + -3b + 2) = 0 Reorder the terms: (-8 + -8a3 + 4b + 6b2) + -1(a3 + -4b2 + -3b + 2) = 0 Remove parenthesis around (-8 + -8a3 + 4b + 6b2) -8 + -8a3 + 4b + 6b2 + -1(a3 + -4b2 + -3b + 2) = 0 Reorder the terms: -8 + -8a3 + 4b + 6b2 + -1(2 + a3 + -3b + -4b2) = 0 -8 + -8a3 + 4b + 6b2 + (2 * -1 + a3 * -1 + -3b * -1 + -4b2 * -1) = 0 -8 + -8a3 + 4b + 6b2 + (-2 + -1a3 + 3b + 4b2) = 0 Reorder the terms: -8 + -2 + -8a3 + -1a3 + 4b + 3b + 6b2 + 4b2 = 0 Combine like terms: -8 + -2 = -10 -10 + -8a3 + -1a3 + 4b + 3b + 6b2 + 4b2 = 0 Combine like terms: -8a3 + -1a3 = -9a3 -10 + -9a3 + 4b + 3b + 6b2 + 4b2 = 0 Combine like terms: 4b + 3b = 7b -10 + -9a3 + 7b + 6b2 + 4b2 = 0 Combine like terms: 6b2 + 4b2 = 10b2 -10 + -9a3 + 7b + 10b2 = 0 Solving -10 + -9a3 + 7b + 10b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -9a3 + 7b + 10 + 10b2 = 0 + 10 Reorder the terms: -10 + 10 + -9a3 + 7b + 10b2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9a3 + 7b + 10b2 = 0 + 10 -9a3 + 7b + 10b2 = 0 + 10 Combine like terms: 0 + 10 = 10 -9a3 + 7b + 10b2 = 10 Add '-7b' to each side of the equation. -9a3 + 7b + -7b + 10b2 = 10 + -7b Combine like terms: 7b + -7b = 0 -9a3 + 0 + 10b2 = 10 + -7b -9a3 + 10b2 = 10 + -7b Add '-10b2' to each side of the equation. -9a3 + 10b2 + -10b2 = 10 + -7b + -10b2 Combine like terms: 10b2 + -10b2 = 0 -9a3 + 0 = 10 + -7b + -10b2 -9a3 = 10 + -7b + -10b2 Divide each side by '-9'. a3 = -1.111111111 + 0.7777777778b + 1.111111111b2 Simplifying a3 = -1.111111111 + 0.7777777778b + 1.111111111b2 Reorder the terms: 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = -1.111111111 + 0.7777777778b + 1.111111111b2 + 1.111111111 + -0.7777777778b + -1.111111111b2 Reorder the terms: 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = -1.111111111 + 1.111111111 + 0.7777777778b + -0.7777777778b + 1.111111111b2 + -1.111111111b2 Combine like terms: -1.111111111 + 1.111111111 = 0.000000000 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = 0.000000000 + 0.7777777778b + -0.7777777778b + 1.111111111b2 + -1.111111111b2 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = 0.7777777778b + -0.7777777778b + 1.111111111b2 + -1.111111111b2 Combine like terms: 0.7777777778b + -0.7777777778b = 0.0000000000 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = 0.0000000000 + 1.111111111b2 + -1.111111111b2 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = 1.111111111b2 + -1.111111111b2 Combine like terms: 1.111111111b2 + -1.111111111b2 = 0.000000000 1.111111111 + a3 + -0.7777777778b + -1.111111111b2 = 0.000000000 The solution to this equation could not be determined.
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