5x^2(4x^5-3x^4)=245(5x^2)

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Solution for 5x^2(4x^5-3x^4)=245(5x^2) equation: 


Simplifying
5x2(4x5 + -3x4) = 245(5x2)

Reorder the terms:
5x2(-3x4 + 4x5) = 245(5x2)
(-3x4 * 5x2 + 4x5 * 5x2) = 245(5x2)
(-15x6 + 20x7) = 245(5x2)

Remove parenthesis around (5x2)
-15x6 + 20x7 = 245 * 5x2

Multiply 245 * 5
-15x6 + 20x7 = 1225x2

Solving
-15x6 + 20x7 = 1225x2

Solving for variable 'x'.

Reorder the terms:
-1225x2 + -15x6 + 20x7 = 1225x2 + -1225x2

Combine like terms: 1225x2 + -1225x2 = 0
-1225x2 + -15x6 + 20x7 = 0

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-245 + -3x4 + 4x5) = 0

Ignore the factor 5.

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 '(-245 + -3x4 + 4x5)' equal to zero and attempt to solve:

Simplifying
-245 + -3x4 + 4x5 = 0

Solving
-245 + -3x4 + 4x5 = 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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