(2x+1)(4x^2-1)=(6x-1)(4x^2-1)

Simple and best practice solution for (2x+1)(4x^2-1)=(6x-1)(4x^2-1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x+1)(4x^2-1)=(6x-1)(4x^2-1) equation: 


Simplifying
(2x + 1)(4x2 + -1) = (6x + -1)(4x2 + -1)

Reorder the terms:
(1 + 2x)(4x2 + -1) = (6x + -1)(4x2 + -1)

Reorder the terms:
(1 + 2x)(-1 + 4x2) = (6x + -1)(4x2 + -1)

Multiply (1 + 2x) * (-1 + 4x2)
(1(-1 + 4x2) + 2x * (-1 + 4x2)) = (6x + -1)(4x2 + -1)
((-1 * 1 + 4x2 * 1) + 2x * (-1 + 4x2)) = (6x + -1)(4x2 + -1)
((-1 + 4x2) + 2x * (-1 + 4x2)) = (6x + -1)(4x2 + -1)
(-1 + 4x2 + (-1 * 2x + 4x2 * 2x)) = (6x + -1)(4x2 + -1)
(-1 + 4x2 + (-2x + 8x3)) = (6x + -1)(4x2 + -1)

Reorder the terms:
(-1 + -2x + 4x2 + 8x3) = (6x + -1)(4x2 + -1)
(-1 + -2x + 4x2 + 8x3) = (6x + -1)(4x2 + -1)

Reorder the terms:
-1 + -2x + 4x2 + 8x3 = (-1 + 6x)(4x2 + -1)

Reorder the terms:
-1 + -2x + 4x2 + 8x3 = (-1 + 6x)(-1 + 4x2)

Multiply (-1 + 6x) * (-1 + 4x2)
-1 + -2x + 4x2 + 8x3 = (-1(-1 + 4x2) + 6x * (-1 + 4x2))
-1 + -2x + 4x2 + 8x3 = ((-1 * -1 + 4x2 * -1) + 6x * (-1 + 4x2))
-1 + -2x + 4x2 + 8x3 = ((1 + -4x2) + 6x * (-1 + 4x2))
-1 + -2x + 4x2 + 8x3 = (1 + -4x2 + (-1 * 6x + 4x2 * 6x))
-1 + -2x + 4x2 + 8x3 = (1 + -4x2 + (-6x + 24x3))

Reorder the terms:
-1 + -2x + 4x2 + 8x3 = (1 + -6x + -4x2 + 24x3)
-1 + -2x + 4x2 + 8x3 = (1 + -6x + -4x2 + 24x3)

Solving
-1 + -2x + 4x2 + 8x3 = 1 + -6x + -4x2 + 24x3

Solving for variable 'x'.

Reorder the terms:
-1 + -1 + -2x + 6x + 4x2 + 4x2 + 8x3 + -24x3 = 1 + -6x + -4x2 + 24x3 + -1 + 6x + 4x2 + -24x3

Combine like terms: -1 + -1 = -2
-2 + -2x + 6x + 4x2 + 4x2 + 8x3 + -24x3 = 1 + -6x + -4x2 + 24x3 + -1 + 6x + 4x2 + -24x3

Combine like terms: -2x + 6x = 4x
-2 + 4x + 4x2 + 4x2 + 8x3 + -24x3 = 1 + -6x + -4x2 + 24x3 + -1 + 6x + 4x2 + -24x3

Combine like terms: 4x2 + 4x2 = 8x2
-2 + 4x + 8x2 + 8x3 + -24x3 = 1 + -6x + -4x2 + 24x3 + -1 + 6x + 4x2 + -24x3

Combine like terms: 8x3 + -24x3 = -16x3
-2 + 4x + 8x2 + -16x3 = 1 + -6x + -4x2 + 24x3 + -1 + 6x + 4x2 + -24x3

Reorder the terms:
-2 + 4x + 8x2 + -16x3 = 1 + -1 + -6x + 6x + -4x2 + 4x2 + 24x3 + -24x3

Combine like terms: 1 + -1 = 0
-2 + 4x + 8x2 + -16x3 = 0 + -6x + 6x + -4x2 + 4x2 + 24x3 + -24x3
-2 + 4x + 8x2 + -16x3 = -6x + 6x + -4x2 + 4x2 + 24x3 + -24x3

Combine like terms: -6x + 6x = 0
-2 + 4x + 8x2 + -16x3 = 0 + -4x2 + 4x2 + 24x3 + -24x3
-2 + 4x + 8x2 + -16x3 = -4x2 + 4x2 + 24x3 + -24x3

Combine like terms: -4x2 + 4x2 = 0
-2 + 4x + 8x2 + -16x3 = 0 + 24x3 + -24x3
-2 + 4x + 8x2 + -16x3 = 24x3 + -24x3

Combine like terms: 24x3 + -24x3 = 0
-2 + 4x + 8x2 + -16x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2x + 4x2 + -8x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 2x + 4x2 + -8x3)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + 4x2 + -8x3 = 0

Solving
-1 + 2x + 4x2 + -8x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 1+x(6-4x)= | | x+x+18=115 | | ((x^2)-2x)/((x^2)-(7x)-10) | | -14=4p-6 | | (2x^2-8x+4)+(5x^2+14x-13)= | | Cosx+2secx=-3 | | x+x+18=250 | | p=-16x^2+256 | | X-2/3=3/5 | | (25^2/9)^3 | | 6x+4y=8000 | | .75+1.5y+3y=0 | | ^2/9 | | 90+18x=30y | | 3((4x-5)-10)/2=6(2x-1)/4 | | X^2/9-16 | | (3p^2-6pq+6q^2)+(3p^2+5pq-4q^4)= | | 8t+at=120 | | 3/x/=12 | | (3(4x-5)-10)/2=6(2x-1)/4 | | 32/x-2=10 | | ^108/^3 | | 9x-4=n | | =500-2q-2q-20 | | r^3+5r^2+100r-500=0 | | 8v-3v=15 | | 7/8×16/1 | | 0=w^2-6w-80 | | 3s+6l=144 | | =(100-2Q)Q-20Q | | 7z-3x=32 | | R+10=1 |

Equations solver categories