(5X-8Y)(4X-3Y)=

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Solution for (5X-8Y)(4X-3Y)= equation:


Simplifying
(5X + -8Y)(4X + -3Y) = 0

Multiply (5X + -8Y) * (4X + -3Y)
(5X * (4X + -3Y) + -8Y * (4X + -3Y)) = 0
((4X * 5X + -3Y * 5X) + -8Y * (4X + -3Y)) = 0

Reorder the terms:
((-15XY + 20X2) + -8Y * (4X + -3Y)) = 0
((-15XY + 20X2) + -8Y * (4X + -3Y)) = 0
(-15XY + 20X2 + (4X * -8Y + -3Y * -8Y)) = 0
(-15XY + 20X2 + (-32XY + 24Y2)) = 0

Reorder the terms:
(-15XY + -32XY + 20X2 + 24Y2) = 0

Combine like terms: -15XY + -32XY = -47XY
(-47XY + 20X2 + 24Y2) = 0

Solving
-47XY + 20X2 + 24Y2 = 0

Solving for variable 'X'.

Factor a trinomial.
(5X + -8Y)(4X + -3Y) = 0

Subproblem 1

Set the factor '(5X + -8Y)' equal to zero and attempt to solve: Simplifying 5X + -8Y = 0 Solving 5X + -8Y = 0 Move all terms containing X to the left, all other terms to the right. Add '8Y' to each side of the equation. 5X + -8Y + 8Y = 0 + 8Y Combine like terms: -8Y + 8Y = 0 5X + 0 = 0 + 8Y 5X = 0 + 8Y Remove the zero: 5X = 8Y Divide each side by '5'. X = 1.6Y Simplifying X = 1.6Y

Subproblem 2

Set the factor '(4X + -3Y)' equal to zero and attempt to solve: Simplifying 4X + -3Y = 0 Solving 4X + -3Y = 0 Move all terms containing X to the left, all other terms to the right. Add '3Y' to each side of the equation. 4X + -3Y + 3Y = 0 + 3Y Combine like terms: -3Y + 3Y = 0 4X + 0 = 0 + 3Y 4X = 0 + 3Y Remove the zero: 4X = 3Y Divide each side by '4'. X = 0.75Y Simplifying X = 0.75Y

Solution

X = {1.6Y, 0.75Y}

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