(-6x-7y^2)(-6x-7y^2)=0

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Solution for (-6x-7y^2)(-6x-7y^2)=0 equation: 


Simplifying
(-6x + -7y2)(-6x + -7y2) = 0

Multiply (-6x + -7y2) * (-6x + -7y2)
(-6x * (-6x + -7y2) + -7y2 * (-6x + -7y2)) = 0
((-6x * -6x + -7y2 * -6x) + -7y2 * (-6x + -7y2)) = 0

Reorder the terms:
((42xy2 + 36x2) + -7y2 * (-6x + -7y2)) = 0
((42xy2 + 36x2) + -7y2 * (-6x + -7y2)) = 0
(42xy2 + 36x2 + (-6x * -7y2 + -7y2 * -7y2)) = 0
(42xy2 + 36x2 + (42xy2 + 49y4)) = 0

Reorder the terms:
(42xy2 + 42xy2 + 36x2 + 49y4) = 0

Combine like terms: 42xy2 + 42xy2 = 84xy2
(84xy2 + 36x2 + 49y4) = 0

Solving
84xy2 + 36x2 + 49y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + 7y2)(6x + 7y2) = 0


Subproblem 1
Set the factor '(6x + 7y2)' equal to zero and attempt to solve:

Simplifying
6x + 7y2 = 0

Solving
6x + 7y2 = 0

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

Add '-7y2' to each side of the equation.
6x + 7y2 + -7y2 = 0 + -7y2

Combine like terms: 7y2 + -7y2 = 0
6x + 0 = 0 + -7y2
6x = 0 + -7y2
Remove the zero:
6x = -7y2

Divide each side by '6'.
x = -1.166666667y2

Simplifying
x = -1.166666667y2

Subproblem 2
Set the factor '(6x + 7y2)' equal to zero and attempt to solve:

Simplifying
6x + 7y2 = 0

Solving
6x + 7y2 = 0

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

Add '-7y2' to each side of the equation.
6x + 7y2 + -7y2 = 0 + -7y2

Combine like terms: 7y2 + -7y2 = 0
6x + 0 = 0 + -7y2
6x = 0 + -7y2
Remove the zero:
6x = -7y2

Divide each side by '6'.
x = -1.166666667y2

Simplifying
x = -1.166666667y2
Solution
x = {-1.166666667y2, -1.166666667y2}

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