3p^2-15p+15=0

Simple and best practice solution for 3p^2-15p+15=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 3p^2-15p+15=0 equation: 


Simplifying
3p2 + -15p + 15 = 0

Reorder the terms:
15 + -15p + 3p2 = 0

Solving
15 + -15p + 3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -5p + p2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -5p + p2)' equal to zero and attempt to solve:

Simplifying
5 + -5p + p2 = 0

Solving
5 + -5p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -5p + -5 + p2 = 0 + -5

Reorder the terms:
5 + -5 + -5p + p2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5p + p2 = 0 + -5
-5p + p2 = 0 + -5

Combine like terms: 0 + -5 = -5
-5p + p2 = -5

The p term is -5p.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5p + 6.25 + p2 = -5 + 6.25

Reorder the terms:
6.25 + -5p + p2 = -5 + 6.25

Combine like terms: -5 + 6.25 = 1.25
6.25 + -5p + p2 = 1.25

Factor a perfect square on the left side:
(p + -2.5)(p + -2.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(p + -2.5) equal to 1.118033989 and -1.118033989.


Subproblem 1
p + -2.5 = 1.118033989

Simplifying
p + -2.5 = 1.118033989

Reorder the terms:
-2.5 + p = 1.118033989

Solving
-2.5 + p = 1.118033989

Solving for variable 'p'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + p = 1.118033989 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + p = 1.118033989 + 2.5
p = 1.118033989 + 2.5

Combine like terms: 1.118033989 + 2.5 = 3.618033989
p = 3.618033989

Simplifying
p = 3.618033989


Subproblem 2
p + -2.5 = -1.118033989

Simplifying
p + -2.5 = -1.118033989

Reorder the terms:
-2.5 + p = -1.118033989

Solving
-2.5 + p = -1.118033989

Solving for variable 'p'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + p = -1.118033989 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + p = -1.118033989 + 2.5
p = -1.118033989 + 2.5

Combine like terms: -1.118033989 + 2.5 = 1.381966011
p = 1.381966011

Simplifying
p = 1.381966011


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {3.618033989, 1.381966011}
Solution
p = {3.618033989, 1.381966011}

See similar equations:

| 7y+(8x+11)(3x+4)=180 | | 75=1/2h(50) | | a-0.59=2.13 | | 6(5x+1)=12 | | 2/7y=-5/14 | | (-x)+(-5)=-16 | | 75=(1/2)h(50) | | 6(x-3)-4x=5(x-7)+2 | | -2(-3x+8)-12x=50 | | -4x-3=-x-30 | | w+2=2w-4 | | (-a)-(-5.7)=-1.2 | | 7n+-8=4n-8 | | 6x^(2/3)=.75k | | 2(x+3)+x-1=-1 | | 15x-3y= | | -4x+2(2x-1)=5 | | -2(6-2y)=56 | | 2(2x-8)=-14 | | -4x+4x-2=5 | | 5x-x+2=0 | | (-a)*3/8=-2/1 | | -3=2*-1l+3*-1-4l | | 2ydx+(2x+xy)dy=0 | | 3(-2x+3)-3x-5=-59 | | 3/4y=-2/5 | | 2ydx+(2x+xy)=0 | | 3(-5x+4)-4x-1=89 | | -4/3m=-12 | | 52*23+100-62= | | -8x+8=-3x+3 | | 9-a)*3/8=-2/1 |

Equations solver categories