24w^2=3w

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Solution for 24w^2=3w equation:


Simplifying
24w2 = 3w

Solving
24w2 = 3w

Solving for variable 'w'.

Reorder the terms:
-3w + 24w2 = 3w + -3w

Combine like terms: 3w + -3w = 0
-3w + 24w2 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-1 + 8w) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(-1 + 8w)' equal to zero and attempt to solve: Simplifying -1 + 8w = 0 Solving -1 + 8w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8w = 0 + 1 8w = 0 + 1 Combine like terms: 0 + 1 = 1 8w = 1 Divide each side by '8'. w = 0.125 Simplifying w = 0.125

Solution

w = {0, 0.125}

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