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 = 8.25
6.25 + -5p + p2 = 8.25

Factor a perfect square on the left side:
(p + -2.5)(p + -2.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(p + -2.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
p + -2.5 = 2.872281323

Simplifying
p + -2.5 = 2.872281323

Reorder the terms:
-2.5 + p = 2.872281323

Solving
-2.5 + p = 2.872281323

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 = 2.872281323 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + p = 2.872281323 + 2.5
p = 2.872281323 + 2.5

Combine like terms: 2.872281323 + 2.5 = 5.372281323
p = 5.372281323

Simplifying
p = 5.372281323


Subproblem 2
p + -2.5 = -2.872281323

Simplifying
p + -2.5 = -2.872281323

Reorder the terms:
-2.5 + p = -2.872281323

Solving
-2.5 + p = -2.872281323

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 = -2.872281323 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + p = -2.872281323 + 2.5
p = -2.872281323 + 2.5

Combine like terms: -2.872281323 + 2.5 = -0.372281323
p = -0.372281323

Simplifying
p = -0.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {5.372281323, -0.372281323}
Solution
p = {5.372281323, -0.372281323}

See similar equations:

| 4x^2-7x+16=8x+2 | | -13p=-117 | | 3a-7-4=5+a-7+3 | | 0=6-8y-y^2 | | c+1=1+c | | 20x-.10x=35 | | 2b^3-b-4b+2=0 | | 5+c=12 | | 20x=35 | | p-14=43 | | 10+3x=16+1.5x | | 5s=-6 | | 10*3x=16+1.5x | | (z-4)(-z+2)(z+8)=0 | | 270=15x | | -14+6(-8)+7-2(-8)=1+5(-8) | | x^2-5x+31=9x-2 | | 10w^2-13w-3= | | 5x+4+3x-24+114=2y | | h^2-8k-15k^2=0 | | y^2+16y=-13 | | 30=6(3x+5) | | 3k^2-2k-85=0 | | -2(2x-1)-11=-2(3x-20)-17 | | 3-5x=8-5x | | x^2-5x+5x+25= | | 78+b=-40 | | -2(2x-11)=-2(3x-20)-17 | | -3+6+(-9)= | | 3-5x=8-5n | | -0/35= | | N+3=-3+n-2+8 |

Equations solver categories