(ax)(4a)=a^2

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Solution for (ax)(4a)=a^2 equation:


Simplifying
(ax)(4a) = a2

Remove parenthesis around (4a)
ax * 4a = a2

Reorder the terms for easier multiplication:
4ax * a = a2

Multiply ax * a
4a2x = a2

Solving
4a2x = a2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a2' to each side of the equation.
-1a2 + 4a2x = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-1a2 + 4a2x = 0

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-1 + 4x) = 0

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(-1 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 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 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Add '-4x' to each side of the equation. 4x + -4x = 1 + -4x Combine like terms: 4x + -4x = 0 0 = 1 + -4x Simplifying 0 = 1 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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