3x^2+40x-675=0

Simple and best practice solution for 3x^2+40x-675=0 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 3x^2+40x-675=0 equation: 


Simplifying
3x2 + 40x + -675 = 0

Reorder the terms:
-675 + 40x + 3x2 = 0

Solving
-675 + 40x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-225 + 13.33333333x + x2 = 0

Move the constant term to the right:

Add '225' to each side of the equation.
-225 + 13.33333333x + 225 + x2 = 0 + 225

Reorder the terms:
-225 + 225 + 13.33333333x + x2 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + 13.33333333x + x2 = 0 + 225
13.33333333x + x2 = 0 + 225

Combine like terms: 0 + 225 = 225
13.33333333x + x2 = 225

The x term is 13.33333333x.  Take half its coefficient (6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
13.33333333x + 44.44444442 + x2 = 225 + 44.44444442

Reorder the terms:
44.44444442 + 13.33333333x + x2 = 225 + 44.44444442

Combine like terms: 225 + 44.44444442 = 269.44444442
44.44444442 + 13.33333333x + x2 = 269.44444442

Factor a perfect square on the left side:
(x + 6.666666665)(x + 6.666666665) = 269.44444442

Calculate the square root of the right side: 16.414763002

Break this problem into two subproblems by setting 
(x + 6.666666665) equal to 16.414763002 and -16.414763002.


Subproblem 1
x + 6.666666665 = 16.414763002

Simplifying
x + 6.666666665 = 16.414763002

Reorder the terms:
6.666666665 + x = 16.414763002

Solving
6.666666665 + x = 16.414763002

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = 16.414763002 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = 16.414763002 + -6.666666665
x = 16.414763002 + -6.666666665

Combine like terms: 16.414763002 + -6.666666665 = 9.748096337
x = 9.748096337

Simplifying
x = 9.748096337


Subproblem 2
x + 6.666666665 = -16.414763002

Simplifying
x + 6.666666665 = -16.414763002

Reorder the terms:
6.666666665 + x = -16.414763002

Solving
6.666666665 + x = -16.414763002

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = -16.414763002 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = -16.414763002 + -6.666666665
x = -16.414763002 + -6.666666665

Combine like terms: -16.414763002 + -6.666666665 = -23.081429667
x = -23.081429667

Simplifying
x = -23.081429667


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.748096337, -23.081429667}

See similar equations:

| 2x^2-54x-38=0 | | 2a+3=3a-6 | | tanx=-20.3 | | tanx=-20/3 | | x^3-0.5=0 | | 45cos(t^2/18)=10 | | 234/26= | | 50-5*10= | | 10x^3/15x^7 | | 0.333x^2-(2/27)x^3=0.5 | | 2x+4y=6x+5y | | X+3=125 | | 3j-13=50 | | 6g-8=52 | | 3d-10=8 | | 16n^2-40=0 | | -0.35=logx | | 2(cosx-1)+3=(cosx-2)-2(cosx-3) | | 10x+2=6x | | (6y+2)=(3-y) | | 9log*(4x-7)=3log*5 | | 3(1)-6y=15 | | 0.2x+0.3=0.1x+0.5 | | Cos(2x-pi/3)=-1/2 | | 4x+3=2x+11x | | 2(-9)+-4y=3 | | 2(9)+-4y=3 | | 2(-8)+-4y=3 | | xy-2y^2=0 | | 2(8)+-4y=3 | | 2(-7)+-4y=3 | | 2(7)+-4y=3 |

Equations solver categories