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Simplifying 18a3b5 + 15b2 + 5 = 0 Reorder the terms: 5 + 18a3b5 + 15b2 = 0 Solving 5 + 18a3b5 + 15b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 18a3b5 + -5 + 15b2 = 0 + -5 Reorder the terms: 5 + -5 + 18a3b5 + 15b2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 18a3b5 + 15b2 = 0 + -5 18a3b5 + 15b2 = 0 + -5 Combine like terms: 0 + -5 = -5 18a3b5 + 15b2 = -5 Add '-15b2' to each side of the equation. 18a3b5 + 15b2 + -15b2 = -5 + -15b2 Combine like terms: 15b2 + -15b2 = 0 18a3b5 + 0 = -5 + -15b2 18a3b5 = -5 + -15b2 Divide each side by '18b5'. a3 = -0.2777777778b-5 + -0.8333333333b-3 Simplifying a3 = -0.2777777778b-5 + -0.8333333333b-3 Reorder the terms: a3 + 0.2777777778b-5 + 0.8333333333b-3 = -0.2777777778b-5 + 0.2777777778b-5 + -0.8333333333b-3 + 0.8333333333b-3 Combine like terms: -0.2777777778b-5 + 0.2777777778b-5 = 0.0000000000 a3 + 0.2777777778b-5 + 0.8333333333b-3 = 0.0000000000 + -0.8333333333b-3 + 0.8333333333b-3 a3 + 0.2777777778b-5 + 0.8333333333b-3 = -0.8333333333b-3 + 0.8333333333b-3 Combine like terms: -0.8333333333b-3 + 0.8333333333b-3 = 0.0000000000 a3 + 0.2777777778b-5 + 0.8333333333b-3 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'b-5'. b-5(a3b5 + 0.2777777778 + 0.8333333333b2) = 0.0000000000Subproblem 1
Set the factor 'b-5' equal to zero and attempt to solve: Simplifying b-5 = 0 Solving b-5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-5' to each side of the equation. b-5 + -1b-5 = 0 + -1b-5 Remove the zero: 0 = -1b-5 Simplifying 0 = -1b-5 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 '(a3b5 + 0.2777777778 + 0.8333333333b2)' equal to zero and attempt to solve: Simplifying a3b5 + 0.2777777778 + 0.8333333333b2 = 0 Reorder the terms: 0.2777777778 + a3b5 + 0.8333333333b2 = 0 Solving 0.2777777778 + a3b5 + 0.8333333333b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.2777777778' to each side of the equation. 0.2777777778 + a3b5 + -0.2777777778 + 0.8333333333b2 = 0 + -0.2777777778 Reorder the terms: 0.2777777778 + -0.2777777778 + a3b5 + 0.8333333333b2 = 0 + -0.2777777778 Combine like terms: 0.2777777778 + -0.2777777778 = 0.0000000000 0.0000000000 + a3b5 + 0.8333333333b2 = 0 + -0.2777777778 a3b5 + 0.8333333333b2 = 0 + -0.2777777778 Combine like terms: 0 + -0.2777777778 = -0.2777777778 a3b5 + 0.8333333333b2 = -0.2777777778 Add '-0.8333333333b2' to each side of the equation. a3b5 + 0.8333333333b2 + -0.8333333333b2 = -0.2777777778 + -0.8333333333b2 Combine like terms: 0.8333333333b2 + -0.8333333333b2 = 0.0000000000 a3b5 + 0.0000000000 = -0.2777777778 + -0.8333333333b2 a3b5 = -0.2777777778 + -0.8333333333b2 Divide each side by 'b5'. a3 = -0.2777777778b-5 + -0.8333333333b-3 Simplifying a3 = -0.2777777778b-5 + -0.8333333333b-3 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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