400=4p(18-(3+p))

Simple and best practice solution for 400=4p(18-(3+p)) 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 400=4p(18-(3+p)) equation: 


Simplifying
400 = 4p(18 + -1(3 + p))
400 = 4p(18 + (3 * -1 + p * -1))
400 = 4p(18 + (-3 + -1p))

Combine like terms: 18 + -3 = 15
400 = 4p(15 + -1p)
400 = (15 * 4p + -1p * 4p)
400 = (60p + -4p2)

Solving
400 = 60p + -4p2

Solving for variable 'p'.

Reorder the terms:
400 + -60p + 4p2 = 60p + -60p + -4p2 + 4p2

Combine like terms: 60p + -60p = 0
400 + -60p + 4p2 = 0 + -4p2 + 4p2
400 + -60p + 4p2 = -4p2 + 4p2

Combine like terms: -4p2 + 4p2 = 0
400 + -60p + 4p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(100 + -15p + p2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(100 + -15p + p2)' equal to zero and attempt to solve:

Simplifying
100 + -15p + p2 = 0

Solving
100 + -15p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -15p + -100 + p2 = 0 + -100

Reorder the terms:
100 + -100 + -15p + p2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -15p + p2 = 0 + -100
-15p + p2 = 0 + -100

Combine like terms: 0 + -100 = -100
-15p + p2 = -100

The p term is -15p.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15p + 56.25 + p2 = -100 + 56.25

Reorder the terms:
56.25 + -15p + p2 = -100 + 56.25

Combine like terms: -100 + 56.25 = -43.75
56.25 + -15p + p2 = -43.75

Factor a perfect square on the left side:
(p + -7.5)(p + -7.5) = -43.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| (2x-1)(x-4)+(x-5)(x-5)-(x-4)(3x-4)=-11 | | y+3=-1/4 | | x^2+3600=150x | | 0=4x-9 | | 20-(-4)+1= | | -4t+16+8t=7t-4 | | 18-m=75 | | x+34=26 | | 0.5x^2+8x=-7 | | Fuck= | | 30v^2+25+36v+30= | | 1/7(a+4)=1/4(5-a) | | 23+r=15 | | 2(x+9)(x-4)=(x-9)x+60 | | -17=b-21 | | 28a^2-15a+2=0 | | 5p-2=p+10 | | 13-3y=16 | | 4c=4(c-9) | | x(x+1)=x+(x+1)+10 | | 2[7-3(1-n)]+6n=-8+3[6(n+1)-3n] | | X^2+2x+1-4=5 | | 18x-72+40x+20=6x | | 20-3+(-2)= | | -(5x-6)-(3x-3)+8=-7(x-8)-(4x+5)+9 | | 20a^2+24a-9=0 | | 6x=3.5x+21 | | 20-(-3)+(-2)= | | 8a=5/6 | | -3(y-6)=10 | | 5(X+2)=4(2X+4) | | 18+5k=2k+24 |

Equations solver categories