24x^2=16x

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Solution for 24x^2=16x equation:


Simplifying
24x2 = 16x

Solving
24x2 = 16x

Solving for variable 'x'.

Reorder the terms:
-16x + 24x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-16x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-2 + 3x) = 0

Ignore the factor 8.

Subproblem 1

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

Subproblem 2

Set the factor '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {0, 0.6666666667}

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