8x(2x+9)=10

Simple and best practice solution for 8x(2x+9)=10 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 8x(2x+9)=10 equation: 


Simplifying
8x(2x + 9) = 10

Reorder the terms:
8x(9 + 2x) = 10
(9 * 8x + 2x * 8x) = 10
(72x + 16x2) = 10

Solving
72x + 16x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 72x + 16x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 72x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 36x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 36x + 8x2)' equal to zero and attempt to solve:

Simplifying
-5 + 36x + 8x2 = 0

Solving
-5 + 36x + 8x2 = 0

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

Divide each side by '8'.
-0.625 + 4.5x + x2 = 0

Move the constant term to the right:

Add '0.625' to each side of the equation.
-0.625 + 4.5x + 0.625 + x2 = 0 + 0.625

Reorder the terms:
-0.625 + 0.625 + 4.5x + x2 = 0 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + 4.5x + x2 = 0 + 0.625
4.5x + x2 = 0 + 0.625

Combine like terms: 0 + 0.625 = 0.625
4.5x + x2 = 0.625

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = 0.625 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = 0.625 + 5.0625

Combine like terms: 0.625 + 5.0625 = 5.6875
5.0625 + 4.5x + x2 = 5.6875

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = 5.6875

Calculate the square root of the right side: 2.384848004

Break this problem into two subproblems by setting 
(x + 2.25) equal to 2.384848004 and -2.384848004.


Subproblem 1
x + 2.25 = 2.384848004

Simplifying
x + 2.25 = 2.384848004

Reorder the terms:
2.25 + x = 2.384848004

Solving
2.25 + x = 2.384848004

Solving for variable 'x'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + x = 2.384848004 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + x = 2.384848004 + -2.25
x = 2.384848004 + -2.25

Combine like terms: 2.384848004 + -2.25 = 0.134848004
x = 0.134848004

Simplifying
x = 0.134848004


Subproblem 2
x + 2.25 = -2.384848004

Simplifying
x + 2.25 = -2.384848004

Reorder the terms:
2.25 + x = -2.384848004

Solving
2.25 + x = -2.384848004

Solving for variable 'x'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + x = -2.384848004 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + x = -2.384848004 + -2.25
x = -2.384848004 + -2.25

Combine like terms: -2.384848004 + -2.25 = -4.634848004
x = -4.634848004

Simplifying
x = -4.634848004


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.134848004, -4.634848004}
Solution
x = {0.134848004, -4.634848004}

See similar equations:

| 4(3a-4)=2(6a-9)+2 | | .5m^2+2m+8=5 | | 9y=-10 | | 9.99=0.25+113.74 | | h(t)=-16(t-6)(t+4) | | (-4+3)x=-2 | | (2x+2va)(x+3va)=0 | | 64X+80= | | 2y=1.4 | | -75x-5=2 | | Y=12-(3x+9) | | 3r+-7=5 | | 2l=40+16 | | 8+12=15 | | 2l+8=40 | | 4x+157=243 | | -3y+15=-42 | | 9x^2+18x+81=0 | | 2x^2-609=0 | | 8m-8=-8-4m-m | | (5x+2)+(10x-3)+(8x-19)+(13x-31)+(7x-11)=540 | | 40-2l=8 | | -4(-4)-16=x | | -.17x+0.2(x-2)=-0.27(1-x) | | 2x+-3(x+-1)=8 | | Y=10-1 | | 2n+1=-7+4n | | -12x-9=168 | | 3(5-5x)=-105 | | 6x-(x+3)=2 | | 9n+3n^2=176.75 | | x^4-7x^2+16=0 |

Equations solver categories