2x(4x+1)=9

Simple and best practice solution for 2x(4x+1)=9 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(4x+1)=9 equation: 


Simplifying
2x(4x + 1) = 9

Reorder the terms:
2x(1 + 4x) = 9
(1 * 2x + 4x * 2x) = 9
(2x + 8x2) = 9

Solving
2x + 8x2 = 9

Solving for variable 'x'.

Reorder the terms:
-9 + 2x + 8x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 2x + 8x2 = 0

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

Divide each side by '8'.
-1.125 + 0.25x + x2 = 0

Move the constant term to the right:

Add '1.125' to each side of the equation.
-1.125 + 0.25x + 1.125 + x2 = 0 + 1.125

Reorder the terms:
-1.125 + 1.125 + 0.25x + x2 = 0 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + 0.25x + x2 = 0 + 1.125
0.25x + x2 = 0 + 1.125

Combine like terms: 0 + 1.125 = 1.125
0.25x + x2 = 1.125

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = 1.125 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = 1.125 + 0.015625

Combine like terms: 1.125 + 0.015625 = 1.140625
0.015625 + 0.25x + x2 = 1.140625

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = 1.140625

Calculate the square root of the right side: 1.068000468

Break this problem into two subproblems by setting 
(x + 0.125) equal to 1.068000468 and -1.068000468.


Subproblem 1
x + 0.125 = 1.068000468

Simplifying
x + 0.125 = 1.068000468

Reorder the terms:
0.125 + x = 1.068000468

Solving
0.125 + x = 1.068000468

Solving for variable 'x'.

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

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x = 1.068000468 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x = 1.068000468 + -0.125
x = 1.068000468 + -0.125

Combine like terms: 1.068000468 + -0.125 = 0.943000468
x = 0.943000468

Simplifying
x = 0.943000468


Subproblem 2
x + 0.125 = -1.068000468

Simplifying
x + 0.125 = -1.068000468

Reorder the terms:
0.125 + x = -1.068000468

Solving
0.125 + x = -1.068000468

Solving for variable 'x'.

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

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x = -1.068000468 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x = -1.068000468 + -0.125
x = -1.068000468 + -0.125

Combine like terms: -1.068000468 + -0.125 = -1.193000468
x = -1.193000468

Simplifying
x = -1.193000468


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.943000468, -1.193000468}

See similar equations:

| 2.4(2.6)-2.6y=-7.5 | | (4x-10)+(2x-2)=180 | | 5/4x+9/4= | | (x-0.80)=0.739*(y-0.80) | | fx=6a*6a-9a*9a+4 | | 5/4x-5/9= | | 5cosx-2=0 | | x-a=0.739*(y-a) | | 2.4-2.6y=-7.5 | | x=-9.8+-1.2y | | 5y-10=2y+8 | | 1.7c+(-3.4c)+-13.6=3.4 | | 8+5r=-12 | | 13x-4-9x+20= | | 5y-10=6y+2 | | 9x/4=7.25 | | x+66+56+x+70=180 | | (5x-4)(5x-4)= | | 64=32-4(x-4) | | 2(3f-2)=50 | | (-6x^2y)(x^5y^9)= | | fx=2(3a)(3a)-3(3a)(3a)+4 | | 11z-5=9x+7 | | (x^4-2y^3)= | | 5+3p=11 | | dy(4x+3y+1)-(3x-4y+1)dx=0 | | (9x+7)(9x-7)= | | X+x+10+90= | | 0=.2x^2+3x-20 | | W+14=3 | | p^2-p-72=0 | | (9x-6)(7x+9)= |

Equations solver categories