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

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


Simplifying
2x(2x + -1) + 4(1 + 6x) = 0

Reorder the terms:
2x(-1 + 2x) + 4(1 + 6x) = 0
(-1 * 2x + 2x * 2x) + 4(1 + 6x) = 0
(-2x + 4x2) + 4(1 + 6x) = 0
-2x + 4x2 + (1 * 4 + 6x * 4) = 0
-2x + 4x2 + (4 + 24x) = 0

Reorder the terms:
4 + -2x + 24x + 4x2 = 0

Combine like terms: -2x + 24x = 22x
4 + 22x + 4x2 = 0

Solving
4 + 22x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 11x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 11x + 2x2)' equal to zero and attempt to solve:

Simplifying
2 + 11x + 2x2 = 0

Solving
2 + 11x + 2x2 = 0

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

Divide each side by '2'.
1 + 5.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 5.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 5.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5.5x + x2 = 0 + -1
5.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
5.5x + x2 = -1

The x term is 5.5x.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5x + 7.5625 + x2 = -1 + 7.5625

Reorder the terms:
7.5625 + 5.5x + x2 = -1 + 7.5625

Combine like terms: -1 + 7.5625 = 6.5625
7.5625 + 5.5x + x2 = 6.5625

Factor a perfect square on the left side:
(x + 2.75)(x + 2.75) = 6.5625

Calculate the square root of the right side: 2.561737691

Break this problem into two subproblems by setting 
(x + 2.75) equal to 2.561737691 and -2.561737691.


Subproblem 1
x + 2.75 = 2.561737691

Simplifying
x + 2.75 = 2.561737691

Reorder the terms:
2.75 + x = 2.561737691

Solving
2.75 + x = 2.561737691

Solving for variable 'x'.

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

Add '-2.75' to each side of the equation.
2.75 + -2.75 + x = 2.561737691 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + x = 2.561737691 + -2.75
x = 2.561737691 + -2.75

Combine like terms: 2.561737691 + -2.75 = -0.188262309
x = -0.188262309

Simplifying
x = -0.188262309


Subproblem 2
x + 2.75 = -2.561737691

Simplifying
x + 2.75 = -2.561737691

Reorder the terms:
2.75 + x = -2.561737691

Solving
2.75 + x = -2.561737691

Solving for variable 'x'.

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

Add '-2.75' to each side of the equation.
2.75 + -2.75 + x = -2.561737691 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + x = -2.561737691 + -2.75
x = -2.561737691 + -2.75

Combine like terms: -2.561737691 + -2.75 = -5.311737691
x = -5.311737691

Simplifying
x = -5.311737691


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.188262309, -5.311737691}
Solution
x = {-0.188262309, -5.311737691}

See similar equations:

| x+10y=45 | | 24-(4*3)+8= | | 36x^2-176x-304=0 | | -1/5z=3/10 | | -32=-2x+3(2x-4) | | e^6(x)=18 | | 5/6n-7/12=-3/4h-13/6 | | (x-9)/(√x-9) | | 5/6n-7/12 | | 10/8x=20 | | 0.25x-3=9 | | (4x+4)(5x-5)=0 | | -t/-4.5=2.4 | | 2y=4+6y | | 10/8x=25 | | 3x-x=5x-(-12) | | 6y+7-3x= | | (23x3)1/4 | | -158=-6x-7(2x-6) | | 3(4x+1)=12 | | x+9=4x-7 | | 2y(5y+9)=4 | | a/7=-16 | | -6=7x+2y | | 126=7x-7(-3x+6) | | -7x-6=-42 | | -6x+2(-2x+12)=124 | | 5/4d=9/10 | | 3y=2000 | | m/2-13/2=-8 | | bh/2=A | | 10x+15-15=0-15 |

Equations solver categories