8x(6x+3)=12x

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Solution for 8x(6x+3)=12x equation: 


Simplifying
8x(6x + 3) = 12x

Reorder the terms:
8x(3 + 6x) = 12x
(3 * 8x + 6x * 8x) = 12x
(24x + 48x2) = 12x

Solving
24x + 48x2 = 12x

Solving for variable 'x'.

Reorder the terms:
24x + -12x + 48x2 = 12x + -12x

Combine like terms: 24x + -12x = 12x
12x + 48x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
12x + 48x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(1 + 4x) = 0

Ignore the factor 12.

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 '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

Move all terms containing x 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

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {0, -0.25}

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