0=(4x+1)(16x^2-4x+1)

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Solution for 0=(4x+1)(16x^2-4x+1) equation:


Simplifying
0 = (4x + 1)(16x2 + -4x + 1)

Reorder the terms:
0 = (1 + 4x)(16x2 + -4x + 1)

Reorder the terms:
0 = (1 + 4x)(1 + -4x + 16x2)

Multiply (1 + 4x) * (1 + -4x + 16x2)
0 = (1(1 + -4x + 16x2) + 4x * (1 + -4x + 16x2))
0 = ((1 * 1 + -4x * 1 + 16x2 * 1) + 4x * (1 + -4x + 16x2))
0 = ((1 + -4x + 16x2) + 4x * (1 + -4x + 16x2))
0 = (1 + -4x + 16x2 + (1 * 4x + -4x * 4x + 16x2 * 4x))
0 = (1 + -4x + 16x2 + (4x + -16x2 + 64x3))

Reorder the terms:
0 = (1 + -4x + 4x + 16x2 + -16x2 + 64x3)

Combine like terms: -4x + 4x = 0
0 = (1 + 0 + 16x2 + -16x2 + 64x3)
0 = (1 + 16x2 + -16x2 + 64x3)

Combine like terms: 16x2 + -16x2 = 0
0 = (1 + 0 + 64x3)
0 = (1 + 64x3)

Solving
0 = 1 + 64x3

Solving for variable 'x'.

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

Add '-64x3' to each side of the equation.
0 + -64x3 = 1 + 64x3 + -64x3
Remove the zero:
-64x3 = 1 + 64x3 + -64x3

Combine like terms: 64x3 + -64x3 = 0
-64x3 = 1 + 0
-64x3 = 1

Divide each side by '-64'.
x3 = -0.015625

Simplifying
x3 = -0.015625

Reorder the terms:
0.015625 + x3 = -0.015625 + 0.015625

Combine like terms: -0.015625 + 0.015625 = 0.000000
0.015625 + x3 = 0.000000

The solution to this equation could not be determined.

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