3x(5x-3y+2y^2)-(3x^2+2xy-7xy^2)=

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Solution for 3x(5x-3y+2y^2)-(3x^2+2xy-7xy^2)= equation: 


Simplifying
3x(5x + -3y + 2y2) + -1(3x2 + 2xy + -7xy2) = 0
(5x * 3x + -3y * 3x + 2y2 * 3x) + -1(3x2 + 2xy + -7xy2) = 0

Reorder the terms:
(-9xy + 6xy2 + 15x2) + -1(3x2 + 2xy + -7xy2) = 0
(-9xy + 6xy2 + 15x2) + -1(3x2 + 2xy + -7xy2) = 0

Reorder the terms:
-9xy + 6xy2 + 15x2 + -1(2xy + -7xy2 + 3x2) = 0
-9xy + 6xy2 + 15x2 + (2xy * -1 + -7xy2 * -1 + 3x2 * -1) = 0
-9xy + 6xy2 + 15x2 + (-2xy + 7xy2 + -3x2) = 0

Reorder the terms:
-9xy + -2xy + 6xy2 + 7xy2 + 15x2 + -3x2 = 0

Combine like terms: -9xy + -2xy = -11xy
-11xy + 6xy2 + 7xy2 + 15x2 + -3x2 = 0

Combine like terms: 6xy2 + 7xy2 = 13xy2
-11xy + 13xy2 + 15x2 + -3x2 = 0

Combine like terms: 15x2 + -3x2 = 12x2
-11xy + 13xy2 + 12x2 = 0

Solving
-11xy + 13xy2 + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11y + 13y2 + 12x) = 0


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 '(-11y + 13y2 + 12x)' equal to zero and attempt to solve:

Simplifying
-11y + 13y2 + 12x = 0

Reorder the terms:
12x + -11y + 13y2 = 0

Solving
12x + -11y + 13y2 = 0

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

Add '11y' to each side of the equation.
12x + -11y + 11y + 13y2 = 0 + 11y

Combine like terms: -11y + 11y = 0
12x + 0 + 13y2 = 0 + 11y
12x + 13y2 = 0 + 11y
Remove the zero:
12x + 13y2 = 11y

Add '-13y2' to each side of the equation.
12x + 13y2 + -13y2 = 11y + -13y2

Combine like terms: 13y2 + -13y2 = 0
12x + 0 = 11y + -13y2
12x = 11y + -13y2

Divide each side by '12'.
x = 0.9166666667y + -1.083333333y2

Simplifying
x = 0.9166666667y + -1.083333333y2
Solution
x = {0, 0.9166666667y + -1.083333333y2}

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