(X-2y)(x+5y)=0

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Solution for (X-2y)(x+5y)=0 equation:


Simplifying
(X + -2y)(x + 5y) = 0

Multiply (X + -2y) * (x + 5y)
(X(x + 5y) + -2y * (x + 5y)) = 0
((x * X + 5y * X) + -2y * (x + 5y)) = 0
((xX + 5yX) + -2y * (x + 5y)) = 0
(xX + 5yX + (x * -2y + 5y * -2y)) = 0
(xX + 5yX + (-2xy + -10y2)) = 0

Reorder the terms:
(xX + -2xy + 5yX + -10y2) = 0
(xX + -2xy + 5yX + -10y2) = 0

Solving
xX + -2xy + 5yX + -10y2 = 0

Solving for variable 'x'.

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

Add '-5yX' to each side of the equation.
xX + -2xy + 5yX + -5yX + -10y2 = 0 + -5yX

Combine like terms: 5yX + -5yX = 0
xX + -2xy + 0 + -10y2 = 0 + -5yX
xX + -2xy + -10y2 = 0 + -5yX
Remove the zero:
xX + -2xy + -10y2 = -5yX

Add '10y2' to each side of the equation.
xX + -2xy + -10y2 + 10y2 = -5yX + 10y2

Combine like terms: -10y2 + 10y2 = 0
xX + -2xy + 0 = -5yX + 10y2
xX + -2xy = -5yX + 10y2

Reorder the terms:
xX + -2xy + 5yX + -10y2 = -5yX + 5yX + 10y2 + -10y2

Combine like terms: -5yX + 5yX = 0
xX + -2xy + 5yX + -10y2 = 0 + 10y2 + -10y2
xX + -2xy + 5yX + -10y2 = 10y2 + -10y2

Combine like terms: 10y2 + -10y2 = 0
xX + -2xy + 5yX + -10y2 = 0

The solution to this equation could not be determined.

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