(5x-4y)(5x+7y)=

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Solution for (5x-4y)(5x+7y)= equation:


Simplifying
(5x + -4y)(5x + 7y) = 0

Multiply (5x + -4y) * (5x + 7y)
(5x * (5x + 7y) + -4y * (5x + 7y)) = 0
((5x * 5x + 7y * 5x) + -4y * (5x + 7y)) = 0

Reorder the terms:
((35xy + 25x2) + -4y * (5x + 7y)) = 0
((35xy + 25x2) + -4y * (5x + 7y)) = 0
(35xy + 25x2 + (5x * -4y + 7y * -4y)) = 0
(35xy + 25x2 + (-20xy + -28y2)) = 0

Reorder the terms:
(35xy + -20xy + 25x2 + -28y2) = 0

Combine like terms: 35xy + -20xy = 15xy
(15xy + 25x2 + -28y2) = 0

Solving
15xy + 25x2 + -28y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -4y)(5x + 7y) = 0

Subproblem 1

Set the factor '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8y

Subproblem 2

Set the factor '(5x + 7y)' equal to zero and attempt to solve: Simplifying 5x + 7y = 0 Solving 5x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 5x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 5x + 0 = 0 + -7y 5x = 0 + -7y Remove the zero: 5x = -7y Divide each side by '5'. x = -1.4y Simplifying x = -1.4y

Solution

x = {0.8y, -1.4y}

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