(2x+1)(6x-1)=0

Simple and best practice solution for (2x+1)(6x-1)=0 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)(6x-1)=0 equation:


Simplifying
(2x + 1)(6x + -1) = 0

Reorder the terms:
(1 + 2x)(6x + -1) = 0

Reorder the terms:
(1 + 2x)(-1 + 6x) = 0

Multiply (1 + 2x) * (-1 + 6x)
(1(-1 + 6x) + 2x * (-1 + 6x)) = 0
((-1 * 1 + 6x * 1) + 2x * (-1 + 6x)) = 0
((-1 + 6x) + 2x * (-1 + 6x)) = 0
(-1 + 6x + (-1 * 2x + 6x * 2x)) = 0
(-1 + 6x + (-2x + 12x2)) = 0

Combine like terms: 6x + -2x = 4x
(-1 + 4x + 12x2) = 0

Solving
-1 + 4x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(1 + -6x) = 0

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Solution

x = {-0.5, 0.1666666667}

See similar equations:

| 2(2y+1)=-2(y-1)-24 | | 2w-12=8 | | 9t=72 | | 12x*8=18 | | 9x^2+2x-4=-56 | | 4x-3x=2 | | 5y^2=-12y+32 | | -9+2x-5x=-39 | | 9=t/8 | | 8.5=10-2.5c | | -8r+16=40 | | -5(2y-1)+4y=-7 | | -7/12=11/6+d | | 8x-86=-15x+75 | | x=(1,3) | | x+x+6=26 | | -3(2b-5)=3b | | 6p=-68 | | 3r-16r-7=5 | | 3x+72=x-28 | | -49=-7x+3x-1 | | q=m+s | | -3x+2y=0 | | -3t=3t+54 | | 3(2y+1)=-3(y-1)-27 | | g/2-6=4 | | 3(2y+1)=-3(y-1) | | 3y=18-6x | | a-15=0 | | 5(x+4)+2x=6(x+3) | | 2w-4-5w=-60 | | 8d-1=35 |

Equations solver categories