p^2-p+0.16=0

Simple and best practice solution for p^2-p+0.16=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-p+0.16=0 equation: 


Simplifying
p2 + -1p + 0.16 = 0

Reorder the terms:
0.16 + -1p + p2 = 0

Solving
0.16 + -1p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-0.16' to each side of the equation.
0.16 + -1p + -0.16 + p2 = 0 + -0.16

Reorder the terms:
0.16 + -0.16 + -1p + p2 = 0 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -1p + p2 = 0 + -0.16
-1p + p2 = 0 + -0.16

Combine like terms: 0 + -0.16 = -0.16
-1p + p2 = -0.16

The p term is -1p.  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.
-1p + 0.25 + p2 = -0.16 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -0.16 + 0.25

Combine like terms: -0.16 + 0.25 = 0.09
0.25 + -1p + p2 = 0.09

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = 0.09

Calculate the square root of the right side: 0.3

Break this problem into two subproblems by setting 
(p + -0.5) equal to 0.3 and -0.3.


Subproblem 1
p + -0.5 = 0.3

Simplifying
p + -0.5 = 0.3

Reorder the terms:
-0.5 + p = 0.3

Solving
-0.5 + p = 0.3

Solving for variable 'p'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + p = 0.3 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + p = 0.3 + 0.5
p = 0.3 + 0.5

Combine like terms: 0.3 + 0.5 = 0.8
p = 0.8

Simplifying
p = 0.8


Subproblem 2
p + -0.5 = -0.3

Simplifying
p + -0.5 = -0.3

Reorder the terms:
-0.5 + p = -0.3

Solving
-0.5 + p = -0.3

Solving for variable 'p'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + p = -0.3 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + p = -0.3 + 0.5
p = -0.3 + 0.5

Combine like terms: -0.3 + 0.5 = 0.2
p = 0.2

Simplifying
p = 0.2


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {0.8, 0.2}

See similar equations:

| Lnx+2Lnx=5 | | w=-250(t-5) | | 3n-6=7(n+2) | | 2x-10=x+8 | | 0.5x+34.8=121 | | 2m^2+-m+-15=0 | | 2m^2+-1m+-15=0 | | 0.5x=86.2 | | 3.2e-5.76=11.52-1.6 | | -3/4=y-2 | | w/2=12 | | 3a^2b-2/4a^-1b | | x^2-12-11=0 | | 5(3x-7)+15= | | 3(4x+3)= | | 7(5x+9)+5x= | | -3(2x+7)+15= | | -8h+1=33 | | 5(i+2)=3(i+6) | | 4x-3-2x= | | 8x+17y= | | 2-1(5y-3)= | | -2[3(x+4)-5]-2=20 | | 7(3x+13)-8x= | | (5x+15)+(7x-4)= | | 3x+6=36-2x | | 4.1v+2.9=0.8v-3.7 | | 0.5ln(x)=ln(1-(r/2)) | | 7n-9-n= | | -2y+15=-8y-9 | | 3w+5=9 | | 3(x+6)-8=2(4x-15)+7 |

Equations solver categories