(6x-1)(6x+1)=10x-1

Simple and best practice solution for (6x-1)(6x+1)=10x-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 (6x-1)(6x+1)=10x-1 equation: 


Simplifying
(6x + -1)(6x + 1) = 10x + -1

Reorder the terms:
(-1 + 6x)(6x + 1) = 10x + -1

Reorder the terms:
(-1 + 6x)(1 + 6x) = 10x + -1

Multiply (-1 + 6x) * (1 + 6x)
(-1(1 + 6x) + 6x * (1 + 6x)) = 10x + -1
((1 * -1 + 6x * -1) + 6x * (1 + 6x)) = 10x + -1
((-1 + -6x) + 6x * (1 + 6x)) = 10x + -1
(-1 + -6x + (1 * 6x + 6x * 6x)) = 10x + -1
(-1 + -6x + (6x + 36x2)) = 10x + -1

Combine like terms: -6x + 6x = 0
(-1 + 0 + 36x2) = 10x + -1
(-1 + 36x2) = 10x + -1

Reorder the terms:
-1 + 36x2 = -1 + 10x

Add '1' to each side of the equation.
-1 + 1 + 36x2 = -1 + 1 + 10x

Combine like terms: -1 + 1 = 0
0 + 36x2 = -1 + 1 + 10x
36x2 = -1 + 1 + 10x

Combine like terms: -1 + 1 = 0
36x2 = 0 + 10x
36x2 = 10x

Solving
36x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + 36x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5 + 18x) = 0

Ignore the factor 2.

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 '(-5 + 18x)' equal to zero and attempt to solve:

Simplifying
-5 + 18x = 0

Solving
-5 + 18x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 18x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 18x = 0 + 5
18x = 0 + 5

Combine like terms: 0 + 5 = 5
18x = 5

Divide each side by '18'.
x = 0.2777777778

Simplifying
x = 0.2777777778
Solution
x = {0, 0.2777777778}

See similar equations:

| 4y^2+5y=0 | | 3x^2+5x+c=0 | | 6-wx=vx+5 | | 7(5y-11+14)= | | 8x-6=6x+14 | | 5t^2-2t+1.3=0 | | 75-3x=3x+23 | | Ry=d | | 5t^2-2t-1.3=0 | | -2y^2-6y^2+y^2=-1 | | (25*16)-(25-2x)(16-2x)=148 | | .5x-6=.75x-4 | | 6x+30=360 | | 5x+9=2x+27 | | 7(2+2x)=14-9(-x-4) | | x-1-x+1=3 | | 24=-3(-11-2)+3 | | 3(y+11)=4y | | 4x+1=-1-4x | | 24=-3(11-2)+3 | | 24=-3(5-2)+3 | | 239-2x=43x+19 | | 9+3a-4=5a+20-15 | | 0.02n=c-20 | | 2+8=b | | 4(7a+2b-1)=0 | | 9x=3x(x-5) | | 6-4(4x-1)= | | 8n(-2n+5)=25 | | 12+6.1-9=2(1+8)-4.1-5 | | 113-8x=7x+22 | | -99+4x=31-6x |

Equations solver categories