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Simplifying 9b2 + -30a2b + 25 = 0 Reorder the terms: 25 + -30a2b + 9b2 = 0 Solving 25 + -30a2b + 9b2 = 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 + -30a2b + -25 + 9b2 = 0 + -25 Reorder the terms: 25 + -25 + -30a2b + 9b2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -30a2b + 9b2 = 0 + -25 -30a2b + 9b2 = 0 + -25 Combine like terms: 0 + -25 = -25 -30a2b + 9b2 = -25 Add '-9b2' to each side of the equation. -30a2b + 9b2 + -9b2 = -25 + -9b2 Combine like terms: 9b2 + -9b2 = 0 -30a2b + 0 = -25 + -9b2 -30a2b = -25 + -9b2 Divide each side by '-30b'. a2 = 0.8333333333b-1 + 0.3b Simplifying a2 = 0.8333333333b-1 + 0.3b Reorder the terms: a2 + -0.8333333333b-1 + -0.3b = 0.8333333333b-1 + -0.8333333333b-1 + 0.3b + -0.3b Combine like terms: 0.8333333333b-1 + -0.8333333333b-1 = 0.0000000000 a2 + -0.8333333333b-1 + -0.3b = 0.0000000000 + 0.3b + -0.3b a2 + -0.8333333333b-1 + -0.3b = 0.3b + -0.3b Combine like terms: 0.3b + -0.3b = 0.0 a2 + -0.8333333333b-1 + -0.3b = 0.0 Factor out the Greatest Common Factor (GCF), 'b-1'. b-1(a2b + -0.8333333333 + -0.3b2) = 0.0Subproblem 1
Set the factor 'b-1' equal to zero and attempt to solve: Simplifying b-1 = 0 Solving b-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-1' to each side of the equation. b-1 + -1b-1 = 0 + -1b-1 Remove the zero: 0 = -1b-1 Simplifying 0 = -1b-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(a2b + -0.8333333333 + -0.3b2)' equal to zero and attempt to solve: Simplifying a2b + -0.8333333333 + -0.3b2 = 0 Reorder the terms: -0.8333333333 + a2b + -0.3b2 = 0 Solving -0.8333333333 + a2b + -0.3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '0.8333333333' to each side of the equation. -0.8333333333 + a2b + 0.8333333333 + -0.3b2 = 0 + 0.8333333333 Reorder the terms: -0.8333333333 + 0.8333333333 + a2b + -0.3b2 = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + a2b + -0.3b2 = 0 + 0.8333333333 a2b + -0.3b2 = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 a2b + -0.3b2 = 0.8333333333 Add '0.3b2' to each side of the equation. a2b + -0.3b2 + 0.3b2 = 0.8333333333 + 0.3b2 Combine like terms: -0.3b2 + 0.3b2 = 0.0 a2b + 0.0 = 0.8333333333 + 0.3b2 a2b = 0.8333333333 + 0.3b2 Divide each side by 'b'. a2 = 0.8333333333b-1 + 0.3b Simplifying a2 = 0.8333333333b-1 + 0.3b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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