4x^2(x^2+6xy-7y^2)=

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Solution for 4x^2(x^2+6xy-7y^2)= equation: 


Simplifying
4x2(x2 + 6xy + -7y2) = 0

Reorder the terms:
4x2(6xy + x2 + -7y2) = 0
(6xy * 4x2 + x2 * 4x2 + -7y2 * 4x2) = 0

Reorder the terms:
(-28x2y2 + 24x3y + 4x4) = 0
(-28x2y2 + 24x3y + 4x4) = 0

Solving
-28x2y2 + 24x3y + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-7y2 + 6xy + x2) = 0

Factor a trinomial.
4x2((-7y + -1x)(y + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-7y + -1x)' equal to zero and attempt to solve:

Simplifying
-7y + -1x = 0

Reorder the terms:
-1x + -7y = 0

Solving
-1x + -7y = 0

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

Add '7y' to each side of the equation.
-1x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
-1x + 0 = 0 + 7y
-1x = 0 + 7y
Remove the zero:
-1x = 7y

Divide each side by '-1'.
x = -7y

Simplifying
x = -7y

Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

Add '-1y' to each side of the equation.
-1x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

Divide each side by '-1'.
x = y

Simplifying
x = y
Solution
x = {0, -7y, y}

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