64x^2+16x+1x=x

Solution for 64x^2+16x+1x=x equation:

Simplifying
64x2 + 16x + 1x = x

Reorder the terms:
16x + 1x + 64x2 = x

Combine like terms: 16x + 1x = 17x
17x + 64x2 = x

Solving
17x + 64x2 = x

Solving for variable 'x'.

Reorder the terms:
17x + -1x + 64x2 = x + -1x

Combine like terms: 17x + -1x = 16x
16x + 64x2 = x + -1x

Combine like terms: x + -1x = 0
16x + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(1 + 4x) = 0

Ignore the factor 16.
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 '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {0, -0.25}