2x(6x-3)=2(2-7x)

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


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

Reorder the terms:
2x(-3 + 6x) = 2(2 + -7x)
(-3 * 2x + 6x * 2x) = 2(2 + -7x)
(-6x + 12x2) = 2(2 + -7x)
-6x + 12x2 = (2 * 2 + -7x * 2)
-6x + 12x2 = (4 + -14x)

Solving
-6x + 12x2 = 4 + -14x

Solving for variable 'x'.

Reorder the terms:
-4 + -6x + 14x + 12x2 = 4 + -14x + -4 + 14x

Combine like terms: -6x + 14x = 8x
-4 + 8x + 12x2 = 4 + -14x + -4 + 14x

Reorder the terms:
-4 + 8x + 12x2 = 4 + -4 + -14x + 14x

Combine like terms: 4 + -4 = 0
-4 + 8x + 12x2 = 0 + -14x + 14x
-4 + 8x + 12x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
-4 + 8x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 2x + 3x2) = 0

Factor a trinomial.
4((-1 + -1x)(1 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-1, 0.3333333333}

See similar equations:

| 77.1-47.3= | | 7y/13y+y^2 | | r^2+4r+n=0 | | x/5-1=x/7+3 | | 5(x+4)-(2x-9)=7 | | 9+(4/n)=15 | | 0.8x-3.4=0.6 | | 4.3-x=-4.1 | | 3x^2-11x-20=22 | | 0.08(y-7)+0.16y=0.10y-0.01(70) | | 6(x-5)=-54 | | 4(t+7)+4(-5t-5)=-17(t-1)+10 | | 1300000+2500000x=213000 | | (P/4)+8=7 | | (0.25b-2)+3=4 | | 4x-[-8+(5-2x+6)]=-11+[-5+(7+5x)-1] | | 400=16x^2 | | 1/3+4x+=2 | | x^2+2x-80=(x+8)(x-10) | | (3a+11)/8=a-3 | | 6x-26=-8+9x | | 4t^2-8t-60=0 | | 18-4(8m+5)=0 | | 2+47(78p+56)=109 | | 17-3f=14 | | 6t-19=-28+5t | | 5(x+4)+4=3(x-2)+6 | | 6y^2-29y-5=0 | | 4(y-6)/3=-3y | | 1=x(x+1) | | -(6w-1)+3(w-4)=0 | | x^8=52 |

Equations solver categories