6x^5+10x^4=3x^3+5x^2

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Solution for 6x^5+10x^4=3x^3+5x^2 equation:


Simplifying
6x5 + 10x4 = 3x3 + 5x2

Reorder the terms:
10x4 + 6x5 = 3x3 + 5x2

Reorder the terms:
10x4 + 6x5 = 5x2 + 3x3

Solving
10x4 + 6x5 = 5x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-5x2 + -3x3 + 10x4 + 6x5 = 5x2 + 3x3 + -5x2 + -3x3

Reorder the terms:
-5x2 + -3x3 + 10x4 + 6x5 = 5x2 + -5x2 + 3x3 + -3x3

Combine like terms: 5x2 + -5x2 = 0
-5x2 + -3x3 + 10x4 + 6x5 = 0 + 3x3 + -3x3
-5x2 + -3x3 + 10x4 + 6x5 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-5x2 + -3x3 + 10x4 + 6x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-5 + -3x + 10x2 + 6x3) = 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 '(-5 + -3x + 10x2 + 6x3)' equal to zero and attempt to solve: Simplifying -5 + -3x + 10x2 + 6x3 = 0 Solving -5 + -3x + 10x2 + 6x3 = 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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