90x^3+25x^2y-10xy^2=

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Solution for 90x^3+25x^2y-10xy^2= equation:


Simplifying
90x3 + 25x2y + -10xy2 = 0

Reorder the terms:
-10xy2 + 25x2y + 90x3 = 0

Solving
-10xy2 + 25x2y + 90x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-2y2 + 5xy + 18x2) = 0

Factor a trinomial.
5x((-1y + -2x)(2y + -9x)) = 0

Ignore the factor 5.

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 '(-1y + -2x)' equal to zero and attempt to solve: Simplifying -1y + -2x = 0 Reorder the terms: -2x + -1y = 0 Solving -2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 -2x + 0 = 0 + y -2x = 0 + y Remove the zero: -2x = y Divide each side by '-2'. x = -0.5y Simplifying x = -0.5y

Subproblem 3

Set the factor '(2y + -9x)' equal to zero and attempt to solve: Simplifying 2y + -9x = 0 Reorder the terms: -9x + 2y = 0 Solving -9x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -9x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -9x + 0 = 0 + -2y -9x = 0 + -2y Remove the zero: -9x = -2y Divide each side by '-9'. x = 0.2222222222y Simplifying x = 0.2222222222y

Solution

x = {0, -0.5y, 0.2222222222y}

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