10z^5-14z^2=0

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Solution for 10z^5-14z^2=0 equation:


Simplifying
10z5 + -14z2 = 0

Reorder the terms:
-14z2 + 10z5 = 0

Solving
-14z2 + 10z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z2'.
2z2(-7 + 5z3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}

Subproblem 2

Set the factor '(-7 + 5z3)' equal to zero and attempt to solve: Simplifying -7 + 5z3 = 0 Solving -7 + 5z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5z3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5z3 = 0 + 7 5z3 = 0 + 7 Combine like terms: 0 + 7 = 7 5z3 = 7 Divide each side by '5'. z3 = 1.4 Simplifying z3 = 1.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

z = {0}

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