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Simplifying 2a2b + -13b2 + 4 = 0 Reorder the terms: 4 + 2a2b + -13b2 = 0 Solving 4 + 2a2b + -13b2 = 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 + 2a2b + -4 + -13b2 = 0 + -4 Reorder the terms: 4 + -4 + 2a2b + -13b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2a2b + -13b2 = 0 + -4 2a2b + -13b2 = 0 + -4 Combine like terms: 0 + -4 = -4 2a2b + -13b2 = -4 Add '13b2' to each side of the equation. 2a2b + -13b2 + 13b2 = -4 + 13b2 Combine like terms: -13b2 + 13b2 = 0 2a2b + 0 = -4 + 13b2 2a2b = -4 + 13b2 Divide each side by '2b'. a2 = -2b-1 + 6.5b Simplifying a2 = -2b-1 + 6.5b Reorder the terms: a2 + 2b-1 + -6.5b = -2b-1 + 2b-1 + 6.5b + -6.5b Combine like terms: -2b-1 + 2b-1 = 0 a2 + 2b-1 + -6.5b = 0 + 6.5b + -6.5b a2 + 2b-1 + -6.5b = 6.5b + -6.5b Combine like terms: 6.5b + -6.5b = 0.0 a2 + 2b-1 + -6.5b = 0.0 Factor out the Greatest Common Factor (GCF), 'b-1'. b-1(a2b + 2 + -6.5b2) = 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 + 2 + -6.5b2)' equal to zero and attempt to solve: Simplifying a2b + 2 + -6.5b2 = 0 Reorder the terms: 2 + a2b + -6.5b2 = 0 Solving 2 + a2b + -6.5b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + a2b + -2 + -6.5b2 = 0 + -2 Reorder the terms: 2 + -2 + a2b + -6.5b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a2b + -6.5b2 = 0 + -2 a2b + -6.5b2 = 0 + -2 Combine like terms: 0 + -2 = -2 a2b + -6.5b2 = -2 Add '6.5b2' to each side of the equation. a2b + -6.5b2 + 6.5b2 = -2 + 6.5b2 Combine like terms: -6.5b2 + 6.5b2 = 0.0 a2b + 0.0 = -2 + 6.5b2 a2b = -2 + 6.5b2 Divide each side by 'b'. a2 = -2b-1 + 6.5b Simplifying a2 = -2b-1 + 6.5b 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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