3(2x-4)+7x=2x(5x+4)

Simple and best practice solution for 3(2x-4)+7x=2x(5x+4) 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 3(2x-4)+7x=2x(5x+4) equation: 


Simplifying
3(2x + -4) + 7x = 2x(5x + 4)

Reorder the terms:
3(-4 + 2x) + 7x = 2x(5x + 4)
(-4 * 3 + 2x * 3) + 7x = 2x(5x + 4)
(-12 + 6x) + 7x = 2x(5x + 4)

Combine like terms: 6x + 7x = 13x
-12 + 13x = 2x(5x + 4)

Reorder the terms:
-12 + 13x = 2x(4 + 5x)
-12 + 13x = (4 * 2x + 5x * 2x)
-12 + 13x = (8x + 10x2)

Solving
-12 + 13x = 8x + 10x2

Solving for variable 'x'.

Combine like terms: 13x + -8x = 5x
-12 + 5x + -10x2 = 8x + 10x2 + -8x + -10x2

Reorder the terms:
-12 + 5x + -10x2 = 8x + -8x + 10x2 + -10x2

Combine like terms: 8x + -8x = 0
-12 + 5x + -10x2 = 0 + 10x2 + -10x2
-12 + 5x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-12 + 5x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
1.2 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.5x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.5x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.5x + x2 = 0 + -1.2
-0.5x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.5x + x2 = -1.2

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1.2 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.2 + 0.0625

Combine like terms: -1.2 + 0.0625 = -1.1375
0.0625 + -0.5x + x2 = -1.1375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.1375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4n+3+2n=24 | | 3/8-1/2= | | 2x^2-3X^3+7=0 | | 5m-11=-36 | | t^2+39=0 | | 2.3-4.1=l | | 8x-1=27 | | t^4-t^2=0 | | 20=10log(10)20 | | 14x-25=51 | | 2(v+5)-8v=-2 | | 5n-3=3n+27 | | C-4/2=3 | | 3=z+9 | | 3(4-a)=-6 | | 80-5y=9 | | 7+15e^1-3x=10 | | 1-6(1-6p)=-p-5 | | 7(u-8)+2u=-29 | | 5(z+2)=14 | | -3m+7(6m-7)=-4-6m | | 2x-0.1=3b | | 9(x-3)+8=5x+4(-5+x) | | 5x-8=3x-8+2x | | -4(5x+2)=-88 | | 3(1+3k)=-1+8k | | 3(3x+2)=8x+13 | | 6x+9+3x=45 | | k/8 | | 11+6x= | | 5*a= | | Halfx+1=6 |

Equations solver categories