x^2+3x-36=0

Simple and best practice solution for x^2+3x-36=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 x^2+3x-36=0 equation: 


Simplifying
x2 + 3x + -36 = 0

Reorder the terms:
-36 + 3x + x2 = 0

Solving
-36 + 3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + 3x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + 3x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 3x + x2 = 0 + 36
3x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
3x + x2 = 36

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 36 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 36 + 2.25

Combine like terms: 36 + 2.25 = 38.25
2.25 + 3x + x2 = 38.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting 
(x + 1.5) equal to 6.184658438 and -6.184658438.


Subproblem 1
x + 1.5 = 6.184658438

Simplifying
x + 1.5 = 6.184658438

Reorder the terms:
1.5 + x = 6.184658438

Solving
1.5 + x = 6.184658438

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 6.184658438 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 6.184658438 + -1.5
x = 6.184658438 + -1.5

Combine like terms: 6.184658438 + -1.5 = 4.684658438
x = 4.684658438

Simplifying
x = 4.684658438


Subproblem 2
x + 1.5 = -6.184658438

Simplifying
x + 1.5 = -6.184658438

Reorder the terms:
1.5 + x = -6.184658438

Solving
1.5 + x = -6.184658438

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -6.184658438 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -6.184658438 + -1.5
x = -6.184658438 + -1.5

Combine like terms: -6.184658438 + -1.5 = -7.684658438
x = -7.684658438

Simplifying
x = -7.684658438


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.684658438, -7.684658438}

See similar equations:

| 11(9-8)= | | 10(7-4)= | | 7x+1=2x+31 | | -4a+3=-9 | | 7(1+3)= | | 6+(x-8)=7(x-3) | | 2a^2-16am+32m^2=0 | | 7(t-6)+3t=5(2t+4)-10 | | -8=32x | | b*p+8=2(8p+4) | | 5x-1=32 | | 40x=32*13 | | 0.27(18)+0.03x=0.09(18+x) | | -10+x-4-5=7x-5 | | 40x=32x | | 4n^2-20nm+24m^2=0 | | 6+(x-8)=7x-3 | | 7x^4+x^3+4=0 | | 2m^2+z-28=0 | | 5-2x=-7x | | 6+x-8=7(x-3) | | -2(x-3)+4x=(-x+1) | | 7x^2-8xm-12m^2=0 | | 25p=-100 | | 3(5n-4)= | | 8x-16=5x+20 | | 17x-y+12x+4y=40 | | 4+4x+4x=20 | | 7p+2=10+6p | | 5t^2+28tm+32m^2=0 | | 5(36-6y)+8y=26 | | t-19=-13 |

Equations solver categories