3x(x-5)=7x^2-16x^4

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Solution for 3x(x-5)=7x^2-16x^4 equation: 


Simplifying
3x(x + -5) = 7x2 + -16x4

Reorder the terms:
3x(-5 + x) = 7x2 + -16x4
(-5 * 3x + x * 3x) = 7x2 + -16x4
(-15x + 3x2) = 7x2 + -16x4

Solving
-15x + 3x2 = 7x2 + -16x4

Solving for variable 'x'.

Combine like terms: 3x2 + -7x2 = -4x2
-15x + -4x2 + 16x4 = 7x2 + -16x4 + -7x2 + 16x4

Reorder the terms:
-15x + -4x2 + 16x4 = 7x2 + -7x2 + -16x4 + 16x4

Combine like terms: 7x2 + -7x2 = 0
-15x + -4x2 + 16x4 = 0 + -16x4 + 16x4
-15x + -4x2 + 16x4 = -16x4 + 16x4

Combine like terms: -16x4 + 16x4 = 0
-15x + -4x2 + 16x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + -4x + 16x3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-15 + -4x + 16x3)' equal to zero and attempt to solve:

Simplifying
-15 + -4x + 16x3 = 0

Solving
-15 + -4x + 16x3 = 0

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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