3x^2+x-132=0

Simple and best practice solution for 3x^2+x-132=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+x-132=0 equation: 


Simplifying
3x2 + x + -132 = 0

Reorder the terms:
-132 + x + 3x2 = 0

Solving
-132 + x + 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'.
-44 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '44' to each side of the equation.
-44 + 0.3333333333x + 44 + x2 = 0 + 44

Reorder the terms:
-44 + 44 + 0.3333333333x + x2 = 0 + 44

Combine like terms: -44 + 44 = 0
0 + 0.3333333333x + x2 = 0 + 44
0.3333333333x + x2 = 0 + 44

Combine like terms: 0 + 44 = 44
0.3333333333x + x2 = 44

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

Add '0.25' to each side of the equation.
0.3333333333x + 0.25 + x2 = 44 + 0.25

Reorder the terms:
0.25 + 0.3333333333x + x2 = 44 + 0.25

Combine like terms: 44 + 0.25 = 44.25
0.25 + 0.3333333333x + x2 = 44.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 44.25

Calculate the square root of the right side: 6.652067348

Break this problem into two subproblems by setting 
(x + 0.5) equal to 6.652067348 and -6.652067348.


Subproblem 1
x + 0.5 = 6.652067348

Simplifying
x + 0.5 = 6.652067348

Reorder the terms:
0.5 + x = 6.652067348

Solving
0.5 + x = 6.652067348

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 6.652067348 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 6.652067348 + -0.5
x = 6.652067348 + -0.5

Combine like terms: 6.652067348 + -0.5 = 6.152067348
x = 6.152067348

Simplifying
x = 6.152067348


Subproblem 2
x + 0.5 = -6.652067348

Simplifying
x + 0.5 = -6.652067348

Reorder the terms:
0.5 + x = -6.652067348

Solving
0.5 + x = -6.652067348

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -6.652067348 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -6.652067348 + -0.5
x = -6.652067348 + -0.5

Combine like terms: -6.652067348 + -0.5 = -7.152067348
x = -7.152067348

Simplifying
x = -7.152067348


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.152067348, -7.152067348}

See similar equations:

| 5-3y=-10 | | 2x+5y-x-(-5y)= | | 3ln(x+2)=9 | | 3t-13=17 | | 3x+5(x-11)=5x-7 | | d+2/7=5 | | -2+2x-5=3(x-1) | | 22.30*57= | | -4n=11 | | y=2/1x+4 | | 6(x+2)=12 | | m^2+2m-13=0 | | (4x/3)+8=-25 | | -3,1/2 | | (4x/3)+8=25 | | (42x^4)/(7x^7) | | 6n+12=2n+20 | | 2x+7=-2-x | | 7x-7-3x=8x-6 | | 10x-10=x+17 | | -3/2u+3=-1/5u-3/2 | | 4x-7=-9x+7 | | x+9x/5=42 | | X-3/2+1=4 | | 52(3g+2)=1/2(12g+8) | | 4x-7=-9x | | 2x-1=3.6 | | 2k+4=-10 | | (2/3)x+4=8 | | 24a-22=-4(1-7a) | | s-3/5=6 | | f=1+-2x+-1x^2+2x^3 |

Equations solver categories