(4x+3y)(4x+3y)=0

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Solution for (4x+3y)(4x+3y)=0 equation:


Simplifying
(4x + 3y)(4x + 3y) = 0

Multiply (4x + 3y) * (4x + 3y)
(4x * (4x + 3y) + 3y * (4x + 3y)) = 0
((4x * 4x + 3y * 4x) + 3y * (4x + 3y)) = 0

Reorder the terms:
((12xy + 16x2) + 3y * (4x + 3y)) = 0
((12xy + 16x2) + 3y * (4x + 3y)) = 0
(12xy + 16x2 + (4x * 3y + 3y * 3y)) = 0
(12xy + 16x2 + (12xy + 9y2)) = 0

Reorder the terms:
(12xy + 12xy + 16x2 + 9y2) = 0

Combine like terms: 12xy + 12xy = 24xy
(24xy + 16x2 + 9y2) = 0

Solving
24xy + 16x2 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + 3y)(4x + 3y) = 0

Subproblem 1

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

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 = {-0.75y, -0.75y}

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