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Simplifying (4a5) * 3 = 12a15 Remove parenthesis around (4a5) 4a5 * 3 = 12a15 Reorder the terms for easier multiplication: 4 * 3a5 = 12a15 Multiply 4 * 3 12a5 = 12a15 Solving 12a5 = 12a15 Solving for variable 'a'. Combine like terms: 12a15 + -12a15 = 0 12a5 + -12a15 = 0 Factor out the Greatest Common Factor (GCF), '12a5'. 12a5(1 + -1a10) = 0 Factor a difference between two squares. 12a5((1 + a5)(1 + -1a5)) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 0 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 '(1 + a5)' equal to zero and attempt to solve: Simplifying 1 + a5 = 0 Solving 1 + a5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a5 = 0 + -1 a5 = 0 + -1 Combine like terms: 0 + -1 = -1 a5 = -1 Simplifying a5 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1a5)' equal to zero and attempt to solve: Simplifying 1 + -1a5 = 0 Solving 1 + -1a5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a5 = 0 + -1 -1a5 = 0 + -1 Combine like terms: 0 + -1 = -1 -1a5 = -1 Divide each side by '-1'. a5 = 1 Simplifying a5 = 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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