8p-5p(p+3)=(7p-1)3

Simple and best practice solution for 8p-5p(p+3)=(7p-1)3 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 8p-5p(p+3)=(7p-1)3 equation:


Simplifying
8p + -5p(p + 3) = (7p + -1) * 3

Reorder the terms:
8p + -5p(3 + p) = (7p + -1) * 3
8p + (3 * -5p + p * -5p) = (7p + -1) * 3
8p + (-15p + -5p2) = (7p + -1) * 3

Combine like terms: 8p + -15p = -7p
-7p + -5p2 = (7p + -1) * 3

Reorder the terms:
-7p + -5p2 = (-1 + 7p) * 3

Reorder the terms for easier multiplication:
-7p + -5p2 = 3(-1 + 7p)
-7p + -5p2 = (-1 * 3 + 7p * 3)
-7p + -5p2 = (-3 + 21p)

Solving
-7p + -5p2 = -3 + 21p

Solving for variable 'p'.

Reorder the terms:
3 + -7p + -21p + -5p2 = -3 + 21p + 3 + -21p

Combine like terms: -7p + -21p = -28p
3 + -28p + -5p2 = -3 + 21p + 3 + -21p

Reorder the terms:
3 + -28p + -5p2 = -3 + 3 + 21p + -21p

Combine like terms: -3 + 3 = 0
3 + -28p + -5p2 = 0 + 21p + -21p
3 + -28p + -5p2 = 21p + -21p

Combine like terms: 21p + -21p = 0
3 + -28p + -5p2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
-0.6 + 5.6p + p2 = 0

Move the constant term to the right:

Add '0.6' to each side of the equation.
-0.6 + 5.6p + 0.6 + p2 = 0 + 0.6

Reorder the terms:
-0.6 + 0.6 + 5.6p + p2 = 0 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 5.6p + p2 = 0 + 0.6
5.6p + p2 = 0 + 0.6

Combine like terms: 0 + 0.6 = 0.6
5.6p + p2 = 0.6

The p term is 5.6p.  Take half its coefficient (2.8).
Square it (7.84) and add it to both sides.

Add '7.84' to each side of the equation.
5.6p + 7.84 + p2 = 0.6 + 7.84

Reorder the terms:
7.84 + 5.6p + p2 = 0.6 + 7.84

Combine like terms: 0.6 + 7.84 = 8.44
7.84 + 5.6p + p2 = 8.44

Factor a perfect square on the left side:
(p + 2.8)(p + 2.8) = 8.44

Calculate the square root of the right side: 2.905167809

Break this problem into two subproblems by setting 
(p + 2.8) equal to 2.905167809 and -2.905167809.

Subproblem 1

p + 2.8 = 2.905167809 Simplifying p + 2.8 = 2.905167809 Reorder the terms: 2.8 + p = 2.905167809 Solving 2.8 + p = 2.905167809 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + p = 2.905167809 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + p = 2.905167809 + -2.8 p = 2.905167809 + -2.8 Combine like terms: 2.905167809 + -2.8 = 0.105167809 p = 0.105167809 Simplifying p = 0.105167809

Subproblem 2

p + 2.8 = -2.905167809 Simplifying p + 2.8 = -2.905167809 Reorder the terms: 2.8 + p = -2.905167809 Solving 2.8 + p = -2.905167809 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + p = -2.905167809 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + p = -2.905167809 + -2.8 p = -2.905167809 + -2.8 Combine like terms: -2.905167809 + -2.8 = -5.705167809 p = -5.705167809 Simplifying p = -5.705167809

Solution

The solution to the problem is based on the solutions from the subproblems. p = {0.105167809, -5.705167809}

See similar equations:

| 2z+13=23 | | -6x-14(8x)=0 | | 3z-9=7+5z | | 9-14x-7-7x=5 | | 0.4x-0.2=0.3x+5 | | (r-5)(r^2+5r+25)= | | 2c-10=4c+10 | | 4-2x(-3)=8+y | | 5t+9=9+5t | | 8+5b=42 | | -2(-6b+4(-2+b-(5b+4)-(8b-3))-b+3)=-5 | | x+.06x=23.02 | | 2x^2-4x-576=0 | | (6n+8)(n+5)= | | 1+4s=4s+1 | | 6.71-3x=x-5 | | sen^2-1=0 | | x+(3x-12)+(2x-8)=82 | | Y^2-10y-27=0 | | 15-(-9x-5)= | | -3(x-2)=-4(-1+x) | | 6+4p=4p+6 | | 60a+14a=180 | | 2cosx*tanx+tanx=0 | | X+3+7=10 | | (2x-1)+(2x+1)=180 | | 6x-2(3x+11)=3 | | 8x-1/3x-1=12/4 | | 2(p+3)+p=18 | | (2x-2)+72=180 | | -18-4(x-3)=7x+35+20 | | (x+4)+3x=180 |

Equations solver categories