4x^2(28x-71)=0

Solution for 4x^2(28x-71)=0 equation:

Simplifying
4x2(28x + -71) = 0

Reorder the terms:
4x2(-71 + 28x) = 0
(-71 * 4x2 + 28x * 4x2) = 0
(-284x2 + 112x3) = 0

Solving
-284x2 + 112x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-71 + 28x) = 0

Ignore the factor 4.
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 '(-71 + 28x)' equal to zero and attempt to solve:

Simplifying
-71 + 28x = 0

Solving
-71 + 28x = 0

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

Add '71' to each side of the equation.
-71 + 71 + 28x = 0 + 71

Combine like terms: -71 + 71 = 0
0 + 28x = 0 + 71
28x = 0 + 71

Combine like terms: 0 + 71 = 71
28x = 71

Divide each side by '28'.
x = 2.535714286

Simplifying
x = 2.535714286
Solution
x = {0, 2.535714286}