6x+7x(3x-4)=1-2x

Simple and best practice solution for 6x+7x(3x-4)=1-2x 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+7x(3x-4)=1-2x equation: 


Simplifying
6x + 7x(3x + -4) = 1 + -2x

Reorder the terms:
6x + 7x(-4 + 3x) = 1 + -2x
6x + (-4 * 7x + 3x * 7x) = 1 + -2x
6x + (-28x + 21x2) = 1 + -2x

Combine like terms: 6x + -28x = -22x
-22x + 21x2 = 1 + -2x

Solving
-22x + 21x2 = 1 + -2x

Solving for variable 'x'.

Reorder the terms:
-1 + -22x + 2x + 21x2 = 1 + -2x + -1 + 2x

Combine like terms: -22x + 2x = -20x
-1 + -20x + 21x2 = 1 + -2x + -1 + 2x

Reorder the terms:
-1 + -20x + 21x2 = 1 + -1 + -2x + 2x

Combine like terms: 1 + -1 = 0
-1 + -20x + 21x2 = 0 + -2x + 2x
-1 + -20x + 21x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + -20x + 21x2 = 0

Factor a trinomial.
(-1 + -21x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -21x)' equal to zero and attempt to solve:

Simplifying
-1 + -21x = 0

Solving
-1 + -21x = 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 + -21x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -21x = 0 + 1
-21x = 0 + 1

Combine like terms: 0 + 1 = 1
-21x = 1

Divide each side by '-21'.
x = -0.04761904762

Simplifying
x = -0.04761904762

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 = {-0.04761904762, 1}

See similar equations:

| 2(2t-3)=18 | | 9x+(-9)=42 | | s+6=s-2 | | -3(-3y+1)-(2y-5)-2y+1=0 | | 4(3k+2)=56 | | 3x+5=4x-12 | | Log(4x+11)=0 | | 8b^2-32b-16=0 | | -3g+4=-5g+10 | | 7-4x+1x-2=8x+3-x | | 28x-15=12 | | (7a-12b+4c)-(-8a+15b-9c)= | | (1-3k)-4= | | 6(2x-3)=10 | | 2(5m+3)=36 | | 2x-3y-5y-3x= | | 6-5v=-8+5v | | 4x+2y+24=0 | | 3x-2(-x-5)=0 | | 3(h+4)=4(h-1) | | 2(x-1)+x=9x-2-6x | | 4a+7b+2c-d-10=9a+12b-3c+2d-25 | | 2w-5=6w+7 | | 4sin(2x+10)=6cos(2x+10) | | 19y+23=13y+11 | | 2log(X)=log(529) | | f(x)=2x^2+7x+2 | | 8-10x=-32 | | 0=-x^2+7x-10 | | 12x-6x-10=4x-6-2x | | x+2*50=200 | | Ab+2a+4b+8= |

Equations solver categories