3(p+3)(p+3)+4(p+3)+7=

Simple and best practice solution for 3(p+3)(p+3)+4(p+3)+7= 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 3(p+3)(p+3)+4(p+3)+7= equation:


Simplifying
3(p + 3)(p + 3) + 4(p + 3) + 7 = 0

Reorder the terms:
3(3 + p)(p + 3) + 4(p + 3) + 7 = 0

Reorder the terms:
3(3 + p)(3 + p) + 4(p + 3) + 7 = 0

Multiply (3 + p) * (3 + p)
3(3(3 + p) + p(3 + p)) + 4(p + 3) + 7 = 0
3((3 * 3 + p * 3) + p(3 + p)) + 4(p + 3) + 7 = 0
3((9 + 3p) + p(3 + p)) + 4(p + 3) + 7 = 0
3(9 + 3p + (3 * p + p * p)) + 4(p + 3) + 7 = 0
3(9 + 3p + (3p + p2)) + 4(p + 3) + 7 = 0

Combine like terms: 3p + 3p = 6p
3(9 + 6p + p2) + 4(p + 3) + 7 = 0
(9 * 3 + 6p * 3 + p2 * 3) + 4(p + 3) + 7 = 0
(27 + 18p + 3p2) + 4(p + 3) + 7 = 0

Reorder the terms:
27 + 18p + 3p2 + 4(3 + p) + 7 = 0
27 + 18p + 3p2 + (3 * 4 + p * 4) + 7 = 0
27 + 18p + 3p2 + (12 + 4p) + 7 = 0

Reorder the terms:
27 + 12 + 7 + 18p + 4p + 3p2 = 0

Combine like terms: 27 + 12 = 39
39 + 7 + 18p + 4p + 3p2 = 0

Combine like terms: 39 + 7 = 46
46 + 18p + 4p + 3p2 = 0

Combine like terms: 18p + 4p = 22p
46 + 22p + 3p2 = 0

Solving
46 + 22p + 3p2 = 0

Solving for variable 'p'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
15.33333333 + 7.333333333p + p2 = 0

Move the constant term to the right:

Add '-15.33333333' to each side of the equation.
15.33333333 + 7.333333333p + -15.33333333 + p2 = 0 + -15.33333333

Reorder the terms:
15.33333333 + -15.33333333 + 7.333333333p + p2 = 0 + -15.33333333

Combine like terms: 15.33333333 + -15.33333333 = 0.00000000
0.00000000 + 7.333333333p + p2 = 0 + -15.33333333
7.333333333p + p2 = 0 + -15.33333333

Combine like terms: 0 + -15.33333333 = -15.33333333
7.333333333p + p2 = -15.33333333

The p term is 7.333333333p.  Take half its coefficient (3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
7.333333333p + 13.44444445 + p2 = -15.33333333 + 13.44444445

Reorder the terms:
13.44444445 + 7.333333333p + p2 = -15.33333333 + 13.44444445

Combine like terms: -15.33333333 + 13.44444445 = -1.88888888
13.44444445 + 7.333333333p + p2 = -1.88888888

Factor a perfect square on the left side:
(p + 3.666666667)(p + 3.666666667) = -1.88888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 72-2x=16x+24 | | 14-7x=94-35x | | 2(x-4)-3(x-1)=4x-(-4+2x) | | 13+3x=33 | | 9-7x=89-21x | | 118-3x=5x+14 | | 3-5x=13-7x | | 2+7x=50+x | | 3x-4=13x-104 | | 4w+2+7w-14=1-9(w-1) | | 5(3x-2)=2(2x+8) | | 0.02x-2=0 | | 4x+77=10x+11 | | 5+5=88 | | 14x=-10+12x | | x^2+38x+59= | | 3x*2x=12 | | 5x-9.4-8x=12x+5.6 | | 5x+5=-55-7x | | X=2.3*800 | | 3x*2x=3 | | x=2.2*800 | | 4+n=n-11 | | 6(x-2)=78-4x | | d+e=b+c | | b+c=d+e | | 3x*x=3 | | 51+3x=7x+21 | | (3x-4)(4x+5)=x(8x-1)+16 | | 3x-x=4 | | 3x^3+15x^2+3x+15= | | 4x+1=57 |

Equations solver categories