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Simplifying 9a2 + -1b2 + 4b + -4 = 0 Reorder the terms: -4 + 9a2 + 4b + -1b2 = 0 Solving -4 + 9a2 + 4b + -1b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 9a2 + 4b + 4 + -1b2 = 0 + 4 Reorder the terms: -4 + 4 + 9a2 + 4b + -1b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9a2 + 4b + -1b2 = 0 + 4 9a2 + 4b + -1b2 = 0 + 4 Combine like terms: 0 + 4 = 4 9a2 + 4b + -1b2 = 4 Add '-4b' to each side of the equation. 9a2 + 4b + -4b + -1b2 = 4 + -4b Combine like terms: 4b + -4b = 0 9a2 + 0 + -1b2 = 4 + -4b 9a2 + -1b2 = 4 + -4b Add 'b2' to each side of the equation. 9a2 + -1b2 + b2 = 4 + -4b + b2 Combine like terms: -1b2 + b2 = 0 9a2 + 0 = 4 + -4b + b2 9a2 = 4 + -4b + b2 Divide each side by '9'. a2 = 0.4444444444 + -0.4444444444b + 0.1111111111b2 Simplifying a2 = 0.4444444444 + -0.4444444444b + 0.1111111111b2 Reorder the terms: -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = 0.4444444444 + -0.4444444444b + 0.1111111111b2 + -0.4444444444 + 0.4444444444b + -0.1111111111b2 Reorder the terms: -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = 0.4444444444 + -0.4444444444 + -0.4444444444b + 0.4444444444b + 0.1111111111b2 + -0.1111111111b2 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = 0.0000000000 + -0.4444444444b + 0.4444444444b + 0.1111111111b2 + -0.1111111111b2 -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = -0.4444444444b + 0.4444444444b + 0.1111111111b2 + -0.1111111111b2 Combine like terms: -0.4444444444b + 0.4444444444b = 0.0000000000 -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = 0.0000000000 + 0.1111111111b2 + -0.1111111111b2 -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = 0.1111111111b2 + -0.1111111111b2 Combine like terms: 0.1111111111b2 + -0.1111111111b2 = 0.0000000000 -0.4444444444 + a2 + 0.4444444444b + -0.1111111111b2 = 0.0000000000 The solution to this equation could not be determined.
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