p^2+133p+196=0

Simple and best practice solution for p^2+133p+196=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 p^2+133p+196=0 equation: 


Simplifying
p2 + 133p + 196 = 0

Reorder the terms:
196 + 133p + p2 = 0

Solving
196 + 133p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + 133p + -196 + p2 = 0 + -196

Reorder the terms:
196 + -196 + 133p + p2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + 133p + p2 = 0 + -196
133p + p2 = 0 + -196

Combine like terms: 0 + -196 = -196
133p + p2 = -196

The p term is 133p.  Take half its coefficient (66.5).
Square it (4422.25) and add it to both sides.

Add '4422.25' to each side of the equation.
133p + 4422.25 + p2 = -196 + 4422.25

Reorder the terms:
4422.25 + 133p + p2 = -196 + 4422.25

Combine like terms: -196 + 4422.25 = 4226.25
4422.25 + 133p + p2 = 4226.25

Factor a perfect square on the left side:
(p + 66.5)(p + 66.5) = 4226.25

Calculate the square root of the right side: 65.009614674

Break this problem into two subproblems by setting 
(p + 66.5) equal to 65.009614674 and -65.009614674.


Subproblem 1
p + 66.5 = 65.009614674

Simplifying
p + 66.5 = 65.009614674

Reorder the terms:
66.5 + p = 65.009614674

Solving
66.5 + p = 65.009614674

Solving for variable 'p'.

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

Add '-66.5' to each side of the equation.
66.5 + -66.5 + p = 65.009614674 + -66.5

Combine like terms: 66.5 + -66.5 = 0.0
0.0 + p = 65.009614674 + -66.5
p = 65.009614674 + -66.5

Combine like terms: 65.009614674 + -66.5 = -1.490385326
p = -1.490385326

Simplifying
p = -1.490385326


Subproblem 2
p + 66.5 = -65.009614674

Simplifying
p + 66.5 = -65.009614674

Reorder the terms:
66.5 + p = -65.009614674

Solving
66.5 + p = -65.009614674

Solving for variable 'p'.

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

Add '-66.5' to each side of the equation.
66.5 + -66.5 + p = -65.009614674 + -66.5

Combine like terms: 66.5 + -66.5 = 0.0
0.0 + p = -65.009614674 + -66.5
p = -65.009614674 + -66.5

Combine like terms: -65.009614674 + -66.5 = -131.509614674
p = -131.509614674

Simplifying
p = -131.509614674


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {-1.490385326, -131.509614674}

See similar equations:

| (2x+4)=(x+7) | | (3t^2)+12t-130=0 | | 2=5xX-0.5 | | 8x^4-8x^2-x=1 | | 16+T=17 | | 154-x=247 | | 2t-1.6=4t-2.8 | | 3x-1/x^2 | | 1/x=1.117 | | 0=12x^2-72x+80 | | (x^2)+6x-130=0 | | 5X-14+X+32+3X+2= | | g(x)=26+0.15(x-200) | | 2x*2y=16 | | 6(x+3)+7=9x-3(x-4) | | 4x-24=14 | | 7xX+0.8=6.4 | | 2+4(5x-6)=9-4(2x+1) | | 0.5(x+300)=0.55x-240 | | 5y^2-4=29 | | -200=-16t^2+45t | | (X+25)+123=180 | | 9t+12=8t-7 | | 3x+3(4x-13)=4x-3x | | -29=11p+5o | | 1.5-x=0.7 | | p+11=99 | | 18+2t=24 | | a+3b=0.9 | | 7+.5X=.33X | | 8b-b=2 | | 8+5+x=29 |

Equations solver categories