2x(28x^2-43)=0

Solution for 2x(28x^2-43)=0 equation:

Simplifying
2x(28x2 + -43) = 0

Reorder the terms:
2x(-43 + 28x2) = 0
(-43 * 2x + 28x2 * 2x) = 0
(-86x + 56x3) = 0

Solving
-86x + 56x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-43 + 28x2) = 0

Ignore the factor 2.
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 '(-43 + 28x2)' equal to zero and attempt to solve:

Simplifying
-43 + 28x2 = 0

Solving
-43 + 28x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '43' to each side of the equation.
-43 + 43 + 28x2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 28x2 = 0 + 43
28x2 = 0 + 43

Combine like terms: 0 + 43 = 43
28x2 = 43

Divide each side by '28'.
x2 = 1.535714286

Simplifying
x2 = 1.535714286

Take the square root of each side:
x = {-1.239239398, 1.239239398}
Solution
x = {0, -1.239239398, 1.239239398}