3x(2y-5x+9)=

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Solution for 3x(2y-5x+9)= equation: 


Simplifying
3x(2y + -5x + 9) = 0

Reorder the terms:
3x(9 + -5x + 2y) = 0
(9 * 3x + -5x * 3x + 2y * 3x) = 0

Reorder the terms:
(27x + 6xy + -15x2) = 0
(27x + 6xy + -15x2) = 0

Solving
27x + 6xy + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(9 + 2y + -5x) = 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 '(9 + 2y + -5x)' equal to zero and attempt to solve:

Simplifying
9 + 2y + -5x = 0

Reorder the terms:
9 + -5x + 2y = 0

Solving
9 + -5x + 2y = 0

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

Add '-9' to each side of the equation.
9 + -5x + -9 + 2y = 0 + -9

Reorder the terms:
9 + -9 + -5x + 2y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x + 2y = 0 + -9
-5x + 2y = 0 + -9

Combine like terms: 0 + -9 = -9
-5x + 2y = -9

Add '-2y' to each side of the equation.
-5x + 2y + -2y = -9 + -2y

Combine like terms: 2y + -2y = 0
-5x + 0 = -9 + -2y
-5x = -9 + -2y

Divide each side by '-5'.
x = 1.8 + 0.4y

Simplifying
x = 1.8 + 0.4y
Solution
x = {0, 1.8 + 0.4y}

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