35x^4+65x^3y-10x^2y^2=

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Solution for 35x^4+65x^3y-10x^2y^2= equation:


Simplifying
35x4 + 65x3y + -10x2y2 = 0

Reorder the terms:
-10x2y2 + 65x3y + 35x4 = 0

Solving
-10x2y2 + 65x3y + 35x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-2y2 + 13xy + 7x2) = 0

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

Ignore the factor 5.

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 '(-2y + -1x)' equal to zero and attempt to solve: Simplifying -2y + -1x = 0 Reorder the terms: -1x + -2y = 0 Solving -1x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -1x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 0 + 2y -1x = 0 + 2y Remove the zero: -1x = 2y Divide each side by '-1'. x = -2y Simplifying x = -2y

Subproblem 3

Set the factor '(y + -7x)' equal to zero and attempt to solve: Simplifying y + -7x = 0 Reorder the terms: -7x + y = 0 Solving -7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -7x + 0 = 0 + -1y -7x = 0 + -1y Remove the zero: -7x = -1y Divide each side by '-7'. x = 0.1428571429y Simplifying x = 0.1428571429y

Solution

x = {0, -2y, 0.1428571429y}

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