6x(2x-1)(x+7)=0

Simple and best practice solution for 6x(2x-1)(x+7)=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(2x-1)(x+7)=0 equation: 


Simplifying
6x(2x + -1)(x + 7) = 0

Reorder the terms:
6x(-1 + 2x)(x + 7) = 0

Reorder the terms:
6x(-1 + 2x)(7 + x) = 0

Multiply (-1 + 2x) * (7 + x)
6x(-1(7 + x) + 2x * (7 + x)) = 0
6x((7 * -1 + x * -1) + 2x * (7 + x)) = 0
6x((-7 + -1x) + 2x * (7 + x)) = 0
6x(-7 + -1x + (7 * 2x + x * 2x)) = 0
6x(-7 + -1x + (14x + 2x2)) = 0

Combine like terms: -1x + 14x = 13x
6x(-7 + 13x + 2x2) = 0
(-7 * 6x + 13x * 6x + 2x2 * 6x) = 0
(-42x + 78x2 + 12x3) = 0

Solving
-42x + 78x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-7 + 13x + 2x2) = 0

Factor a trinomial.
6x((-7 + -1x)(1 + -2x)) = 0

Ignore the factor 6.

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 '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 3
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
Solution
x = {0, -7, 0.5}

See similar equations:

| 5x+1/8=-3 | | 6.5x+1.4*5=59 | | (2c+2)=6(6x-1) | | 1/5n-5n+25/n^2-n+6/n^2 | | 13c-29c= | | -x-7=4x-(4x+5) | | 5(t+-2)=3(t-2) | | (y-1)= | | 5/4+5x | | -7(1-3n)-1=18+8n | | 5y+9=3y-5 | | 6(x-11)-(x-7)=-4+9x+1-8x | | 6k+2(k-3)=10-8k | | 3(b-12)= | | 1-3n=1+8n | | 3x^2-22x-2=-9 | | -6(1-4v)+5=143 | | 1/2+13/8-11/12 | | 5(1-2(x+2))=4x | | -4x+9=1-3x | | 1=(1/3a)-5 | | p^2+8p+7=-6 | | --1=5+n/6 | | 85=5(1+2r) | | 8x-6=102 | | 16u+14v+16= | | x-8-3x=-12 | | 1/4(7x-4)-3/5(3x-2)=3/10(4x-3) | | 67x=52x+12.3 | | 102-6=8x | | 45x-78=19x+x-81 | | 1x+2y=6 |

Equations solver categories