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Simplifying 3(a3x + 1) = 15 Reorder the terms: 3(1 + a3x) = 15 (1 * 3 + a3x * 3) = 15 (3 + 3a3x) = 15 Solving 3 + 3a3x = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3a3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3a3x = 15 + -3 3a3x = 15 + -3 Combine like terms: 15 + -3 = 12 3a3x = 12 Divide each side by '3x'. a3 = 4x-1 Simplifying a3 = 4x-1 Combine like terms: 4x-1 + -4x-1 = 0 a3 + -4x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(a3x + -4) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(a3x + -4)' equal to zero and attempt to solve: Simplifying a3x + -4 = 0 Reorder the terms: -4 + a3x = 0 Solving -4 + a3x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a3x = 0 + 4 a3x = 0 + 4 Combine like terms: 0 + 4 = 4 a3x = 4 Divide each side by 'x'. a3 = 4x-1 Simplifying a3 = 4x-1 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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