2p^2+10p+4=0

Simple and best practice solution for 2p^2+10p+4=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 2p^2+10p+4=0 equation: 


Simplifying
2p2 + 10p + 4 = 0

Reorder the terms:
4 + 10p + 2p2 = 0

Solving
4 + 10p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 5p + p2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 5p + p2)' equal to zero and attempt to solve:

Simplifying
2 + 5p + p2 = 0

Solving
2 + 5p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 5p + -2 + p2 = 0 + -2

Reorder the terms:
2 + -2 + 5p + p2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5p + p2 = 0 + -2
5p + p2 = 0 + -2

Combine like terms: 0 + -2 = -2
5p + p2 = -2

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 = -2 + 6.25

Reorder the terms:
6.25 + 5p + p2 = -2 + 6.25

Combine like terms: -2 + 6.25 = 4.25
6.25 + 5p + p2 = 4.25

Factor a perfect square on the left side:
(p + 2.5)(p + 2.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(p + 2.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
p + 2.5 = 2.061552813

Simplifying
p + 2.5 = 2.061552813

Reorder the terms:
2.5 + p = 2.061552813

Solving
2.5 + p = 2.061552813

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 = 2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + p = 2.061552813 + -2.5
p = 2.061552813 + -2.5

Combine like terms: 2.061552813 + -2.5 = -0.438447187
p = -0.438447187

Simplifying
p = -0.438447187


Subproblem 2
p + 2.5 = -2.061552813

Simplifying
p + 2.5 = -2.061552813

Reorder the terms:
2.5 + p = -2.061552813

Solving
2.5 + p = -2.061552813

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 = -2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + p = -2.061552813 + -2.5
p = -2.061552813 + -2.5

Combine like terms: -2.061552813 + -2.5 = -4.561552813
p = -4.561552813

Simplifying
p = -4.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {-0.438447187, -4.561552813}
Solution
p = {-0.438447187, -4.561552813}

See similar equations:

| 14-2x+3x=8-7x-2 | | 8f-6g+2f-3G= | | -60+3x=-4x+31 | | V+15=76 | | -4+4x=5x+11 | | 20=4(h) | | 32+6p=4-5(-p-4) | | 3x+30=9x+28 | | 3x+30+9x+28=90 | | Y=-1-(-2) | | -17+x=39-6x | | Y/7=-1-(-2) | | 2x=4y+4 | | y^2+60= | | 7(2x)-3=19x-1 | | 7(4x-6)+x=-158 | | p(x)=4x^3-7x+3 | | -7+3x=9+x | | -11=4+3w | | x-50=130-x | | sin(360-x)cos(180+x)=-1 | | 20-45/y= | | 4(k+5)-2k+6=2(3k+2)-6 | | 12y+40= | | 0.25x+0.15(100-x)=16 | | 4n=78.8 | | -117=7(4n+4)-5 | | 6x-63=21-x | | 5x-18=x+6 | | 9/x-2x7/x-5= | | p^2-89=-14p | | 12a-10=250 |

Equations solver categories