(7X+2Y)*(7X+2Y)=

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Solution for (7X+2Y)*(7X+2Y)= equation: 


Simplifying
(7X + 2Y)(7X + 2Y) = 0

Multiply (7X + 2Y) * (7X + 2Y)
(7X * (7X + 2Y) + 2Y * (7X + 2Y)) = 0
((7X * 7X + 2Y * 7X) + 2Y * (7X + 2Y)) = 0

Reorder the terms:
((14XY + 49X2) + 2Y * (7X + 2Y)) = 0
((14XY + 49X2) + 2Y * (7X + 2Y)) = 0
(14XY + 49X2 + (7X * 2Y + 2Y * 2Y)) = 0
(14XY + 49X2 + (14XY + 4Y2)) = 0

Reorder the terms:
(14XY + 14XY + 49X2 + 4Y2) = 0

Combine like terms: 14XY + 14XY = 28XY
(28XY + 49X2 + 4Y2) = 0

Solving
28XY + 49X2 + 4Y2 = 0

Solving for variable 'X'.

Factor a trinomial.
(7X + 2Y)(7X + 2Y) = 0


Subproblem 1
Set the factor '(7X + 2Y)' equal to zero and attempt to solve:

Simplifying
7X + 2Y = 0

Solving
7X + 2Y = 0

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

Add '-2Y' to each side of the equation.
7X + 2Y + -2Y = 0 + -2Y

Combine like terms: 2Y + -2Y = 0
7X + 0 = 0 + -2Y
7X = 0 + -2Y
Remove the zero:
7X = -2Y

Divide each side by '7'.
X = -0.2857142857Y

Simplifying
X = -0.2857142857Y

Subproblem 2
Set the factor '(7X + 2Y)' equal to zero and attempt to solve:

Simplifying
7X + 2Y = 0

Solving
7X + 2Y = 0

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

Add '-2Y' to each side of the equation.
7X + 2Y + -2Y = 0 + -2Y

Combine like terms: 2Y + -2Y = 0
7X + 0 = 0 + -2Y
7X = 0 + -2Y
Remove the zero:
7X = -2Y

Divide each side by '7'.
X = -0.2857142857Y

Simplifying
X = -0.2857142857Y
Solution
X = {-0.2857142857Y, -0.2857142857Y}

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