X^2(X^2-8x+7)=

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Solution for X^2(X^2-8x+7)= equation: 


Simplifying
X2(X2 + -8x + 7) = 0

Reorder the terms:
X2(7 + X2 + -8x) = 0
(7 * X2 + X2 * X2 + -8x * X2) = 0
(7X2 + X4 + -8xX2) = 0

Solving
7X2 + X4 + -8xX2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(7 + X2 + -8x) = 0


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 '(7 + X2 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + X2 + -8x = 0

Solving
7 + X2 + -8x = 0

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

Add '-7' to each side of the equation.
7 + X2 + -7 + -8x = 0 + -7

Reorder the terms:
7 + -7 + X2 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + X2 + -8x = 0 + -7
X2 + -8x = 0 + -7

Combine like terms: 0 + -7 = -7
X2 + -8x = -7

Add '8x' to each side of the equation.
X2 + -8x + 8x = -7 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 = -7 + 8x
X2 = -7 + 8x

Simplifying
X2 = -7 + 8x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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