(18a^2*b^3)=24a^3

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Solution for (18a^2*b^3)=24a^3 equation:


Simplifying
(18a2 * b3) = 24a3

Multiply a2 * b3
(18a2b3) = 24a3

Solving
(18a2b3) = 24a3

Solving for variable 'a'.

Combine like terms: 24a3 + -24a3 = 0
(18a2b3) + -24a3 = 0

Factor out the Greatest Common Factor (GCF), '6a2'.
6a2((3b3) + -4a) = 0

Ignore the factor 6.

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 '((3b3) + -4a)' equal to zero and attempt to solve: Simplifying (3b3) + -4a = 0 Reorder the terms: -4a + (3b3) = 0 Solving -4a + (3b3) = 0 Move all terms containing a to the left, all other terms to the right. Add '(-3b3)' to each side of the equation. -4a + (3b3) + (-3b3) = 0 + (-3b3) Combine like terms: (3b3) + (-3b3) = 0 -4a + 0 = 0 + (-3b3) -4a = 0 + (-3b3) Remove the zero: -4a = (-3b3) Divide each side by '-4'. a = (0.75b3) Simplifying a = (0.75b3)

Solution

a = {0, (0.75b3)}

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