10x^5-35x^2=0

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Solution for 10x^5-35x^2=0 equation:


Simplifying
10x5 + -35x2 = 0

Reorder the terms:
-35x2 + 10x5 = 0

Solving
-35x2 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-7 + 2x3) = 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 '(-7 + 2x3)' equal to zero and attempt to solve: Simplifying -7 + 2x3 = 0 Solving -7 + 2x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x3 = 0 + 7 2x3 = 0 + 7 Combine like terms: 0 + 7 = 7 2x3 = 7 Divide each side by '2'. x3 = 3.5 Simplifying x3 = 3.5 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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