21x^2-49x^5=0

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Solution for 21x^2-49x^5=0 equation:


Simplifying
21x2 + -49x5 = 0

Solving
21x2 + -49x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(3 + -7x3) = 0

Ignore the factor 7.

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 '(3 + -7x3)' equal to zero and attempt to solve: Simplifying 3 + -7x3 = 0 Solving 3 + -7x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x3 = 0 + -3 -7x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -7x3 = -3 Divide each side by '-7'. x3 = 0.4285714286 Simplifying x3 = 0.4285714286 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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