4x^4+10x^3=6x^2+15x

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Solution for 4x^4+10x^3=6x^2+15x equation:


Simplifying
4x4 + 10x3 = 6x2 + 15x

Reorder the terms:
10x3 + 4x4 = 6x2 + 15x

Reorder the terms:
10x3 + 4x4 = 15x + 6x2

Solving
10x3 + 4x4 = 15x + 6x2

Solving for variable 'x'.

Reorder the terms:
-15x + -6x2 + 10x3 + 4x4 = 15x + 6x2 + -15x + -6x2

Reorder the terms:
-15x + -6x2 + 10x3 + 4x4 = 15x + -15x + 6x2 + -6x2

Combine like terms: 15x + -15x = 0
-15x + -6x2 + 10x3 + 4x4 = 0 + 6x2 + -6x2
-15x + -6x2 + 10x3 + 4x4 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-15x + -6x2 + 10x3 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + -6x + 10x2 + 4x3) = 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 + -6x + 10x2 + 4x3)' equal to zero and attempt to solve: Simplifying -15 + -6x + 10x2 + 4x3 = 0 Solving -15 + -6x + 10x2 + 4x3 = 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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