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

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


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

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

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

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

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

Solving
-2 + -4x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -2x + 3x2) = 0

Factor a trinomial.
2((-1 + -3x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.3333333333, 1}

See similar equations:

| 3(x-5)+6=2(4x+3) | | 2x^2-2x+3x^2-5-x= | | x*x+3=5*x+7 | | 4*5Y-3=2*3Y+4 | | 4y^2+9=5y | | -10(8r+9)+9(6r+6)= | | 2x^2+4x+4=-5x | | (5-1z)(3z-4)=0 | | (5-z)(3z-4)=0 | | 48-4t=3(3(t+2)) | | 7r=-5+144 | | (8x-7)*6x=73 | | 8y^2=-7y-8 | | 3x^2+29x-8.9=0 | | (8x-7)+6x=73 | | 7[3-(8x-5)]+7x=0 | | (8x-7)+6x= | | 6x+8y=-10 | | 0=x^2-13x+12 | | (15+x)+(6x+60)=180 | | 4x^2+4x-36=36 | | .5x+.2y=4.05 | | 3a+(-8a)= | | 4w(11w+7)=0 | | 36-64x^2=0 | | (s+3)(s-15)=0 | | 3x+4y=20 | | (10x+4)-(5x-6)=0 | | x^4+2x^3+3x^2+2x+2=0 | | y=9x-15 | | (3x+4)(2x^2-11x+15)=0 | | x-11y=-12 |

Equations solver categories