(4x-7y)*(4x-7y)=0

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Solution for (4x-7y)*(4x-7y)=0 equation: 


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

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

Reorder the terms:
((-28xy + 16x2) + -7y * (4x + -7y)) = 0
((-28xy + 16x2) + -7y * (4x + -7y)) = 0
(-28xy + 16x2 + (4x * -7y + -7y * -7y)) = 0
(-28xy + 16x2 + (-28xy + 49y2)) = 0

Reorder the terms:
(-28xy + -28xy + 16x2 + 49y2) = 0

Combine like terms: -28xy + -28xy = -56xy
(-56xy + 16x2 + 49y2) = 0

Solving
-56xy + 16x2 + 49y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(4x + -7y)' equal to zero and attempt to solve:

Simplifying
4x + -7y = 0

Solving
4x + -7y = 0

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

Add '7y' to each side of the equation.
4x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = 0 + 7y
4x = 0 + 7y
Remove the zero:
4x = 7y

Divide each side by '4'.
x = 1.75y

Simplifying
x = 1.75y

Subproblem 2
Set the factor '(4x + -7y)' equal to zero and attempt to solve:

Simplifying
4x + -7y = 0

Solving
4x + -7y = 0

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

Add '7y' to each side of the equation.
4x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = 0 + 7y
4x = 0 + 7y
Remove the zero:
4x = 7y

Divide each side by '4'.
x = 1.75y

Simplifying
x = 1.75y
Solution
x = {1.75y, 1.75y}

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