4x^2-21xy-25y^2=0

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Solution for 4x^2-21xy-25y^2=0 equation:


Simplifying
4x2 + -21xy + -25y2 = 0

Reorder the terms:
-21xy + 4x2 + -25y2 = 0

Solving
-21xy + 4x2 + -25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -25y)(x + y) = 0

Subproblem 1

Set the factor '(4x + -25y)' equal to zero and attempt to solve: Simplifying 4x + -25y = 0 Solving 4x + -25y = 0 Move all terms containing x to the left, all other terms to the right. Add '25y' to each side of the equation. 4x + -25y + 25y = 0 + 25y Combine like terms: -25y + 25y = 0 4x + 0 = 0 + 25y 4x = 0 + 25y Remove the zero: 4x = 25y Divide each side by '4'. x = 6.25y Simplifying x = 6.25y

Subproblem 2

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

Solution

x = {6.25y, -1y}

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