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Simplifying -4b2 + 144a2 + -20b + -25 = 0 Reorder the terms: -25 + 144a2 + -20b + -4b2 = 0 Solving -25 + 144a2 + -20b + -4b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 144a2 + -20b + 25 + -4b2 = 0 + 25 Reorder the terms: -25 + 25 + 144a2 + -20b + -4b2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 144a2 + -20b + -4b2 = 0 + 25 144a2 + -20b + -4b2 = 0 + 25 Combine like terms: 0 + 25 = 25 144a2 + -20b + -4b2 = 25 Add '20b' to each side of the equation. 144a2 + -20b + 20b + -4b2 = 25 + 20b Combine like terms: -20b + 20b = 0 144a2 + 0 + -4b2 = 25 + 20b 144a2 + -4b2 = 25 + 20b Add '4b2' to each side of the equation. 144a2 + -4b2 + 4b2 = 25 + 20b + 4b2 Combine like terms: -4b2 + 4b2 = 0 144a2 + 0 = 25 + 20b + 4b2 144a2 = 25 + 20b + 4b2 Divide each side by '144'. a2 = 0.1736111111 + 0.1388888889b + 0.02777777778b2 Simplifying a2 = 0.1736111111 + 0.1388888889b + 0.02777777778b2 Reorder the terms: -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.1736111111 + 0.1388888889b + 0.02777777778b2 + -0.1736111111 + -0.1388888889b + -0.02777777778b2 Reorder the terms: -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.1736111111 + -0.1736111111 + 0.1388888889b + -0.1388888889b + 0.02777777778b2 + -0.02777777778b2 Combine like terms: 0.1736111111 + -0.1736111111 = 0.0000000000 -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.0000000000 + 0.1388888889b + -0.1388888889b + 0.02777777778b2 + -0.02777777778b2 -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.1388888889b + -0.1388888889b + 0.02777777778b2 + -0.02777777778b2 Combine like terms: 0.1388888889b + -0.1388888889b = 0.0000000000 -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.0000000000 + 0.02777777778b2 + -0.02777777778b2 -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.02777777778b2 + -0.02777777778b2 Combine like terms: 0.02777777778b2 + -0.02777777778b2 = 0.00000000000 -0.1736111111 + a2 + -0.1388888889b + -0.02777777778b2 = 0.00000000000 The solution to this equation could not be determined.
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