16x^2=12x

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Solution for 16x^2=12x equation: 


Simplifying
16x2 = 12x

Solving
16x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-12x + 16x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-3 + 4x) = 0

Ignore the factor 4.

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 '(-3 + 4x)' equal to zero and attempt to solve:

Simplifying
-3 + 4x = 0

Solving
-3 + 4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0, 0.75}

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