3x(15x-8y+12)=

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Solution for 3x(15x-8y+12)= equation: 


Simplifying
3x(15x + -8y + 12) = 0

Reorder the terms:
3x(12 + 15x + -8y) = 0
(12 * 3x + 15x * 3x + -8y * 3x) = 0

Reorder the terms:
(36x + -24xy + 45x2) = 0
(36x + -24xy + 45x2) = 0

Solving
36x + -24xy + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(12 + -8y + 15x) = 0

Ignore the factor 3.

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 '(12 + -8y + 15x)' equal to zero and attempt to solve:

Simplifying
12 + -8y + 15x = 0

Reorder the terms:
12 + 15x + -8y = 0

Solving
12 + 15x + -8y = 0

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

Add '-12' to each side of the equation.
12 + 15x + -12 + -8y = 0 + -12

Reorder the terms:
12 + -12 + 15x + -8y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 15x + -8y = 0 + -12
15x + -8y = 0 + -12

Combine like terms: 0 + -12 = -12
15x + -8y = -12

Add '8y' to each side of the equation.
15x + -8y + 8y = -12 + 8y

Combine like terms: -8y + 8y = 0
15x + 0 = -12 + 8y
15x = -12 + 8y

Divide each side by '15'.
x = -0.8 + 0.5333333333y

Simplifying
x = -0.8 + 0.5333333333y
Solution
x = {0, -0.8 + 0.5333333333y}

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