(x+5y)(9x-y)=

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Solution for (x+5y)(9x-y)= equation:


Simplifying
(x + 5y)(9x + -1y) = 0

Multiply (x + 5y) * (9x + -1y)
(x(9x + -1y) + 5y * (9x + -1y)) = 0
((9x * x + -1y * x) + 5y * (9x + -1y)) = 0

Reorder the terms:
((-1xy + 9x2) + 5y * (9x + -1y)) = 0
((-1xy + 9x2) + 5y * (9x + -1y)) = 0
(-1xy + 9x2 + (9x * 5y + -1y * 5y)) = 0
(-1xy + 9x2 + (45xy + -5y2)) = 0

Reorder the terms:
(-1xy + 45xy + 9x2 + -5y2) = 0

Combine like terms: -1xy + 45xy = 44xy
(44xy + 9x2 + -5y2) = 0

Solving
44xy + 9x2 + -5y2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(9x + -1y)' equal to zero and attempt to solve: Simplifying 9x + -1y = 0 Solving 9x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 9x + -1y + y = 0 + y Combine like terms: -1y + y = 0 9x + 0 = 0 + y 9x = 0 + y Remove the zero: 9x = y Divide each side by '9'. x = 0.1111111111y Simplifying x = 0.1111111111y

Subproblem 2

Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5y

Solution

x = {0.1111111111y, -5y}

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