42x^4-99x^3y-15x^2y^2=

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Solution for 42x^4-99x^3y-15x^2y^2= equation: 


Simplifying
42x4 + -99x3y + -15x2y2 = 0

Reorder the terms:
-15x2y2 + -99x3y + 42x4 = 0

Solving
-15x2y2 + -99x3y + 42x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-5y2 + -33xy + 14x2) = 0

Factor a trinomial.
3x2((-1y + -7x)(5y + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-1y + -7x)' equal to zero and attempt to solve:

Simplifying
-1y + -7x = 0

Reorder the terms:
-7x + -1y = 0

Solving
-7x + -1y = 0

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

Add 'y' to each side of the equation.
-7x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-7x + 0 = 0 + y
-7x = 0 + y
Remove the zero:
-7x = y

Divide each side by '-7'.
x = -0.1428571429y

Simplifying
x = -0.1428571429y

Subproblem 3
Set the factor '(5y + -2x)' equal to zero and attempt to solve:

Simplifying
5y + -2x = 0

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

Solving
-2x + 5y = 0

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

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

Combine like terms: 5y + -5y = 0
-2x + 0 = 0 + -5y
-2x = 0 + -5y
Remove the zero:
-2x = -5y

Divide each side by '-2'.
x = 2.5y

Simplifying
x = 2.5y
Solution
x = {0, -0.1428571429y, 2.5y}

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