(p+7)(3p+2)=(p+7)(p+7)

Simple and best practice solution for (p+7)(3p+2)=(p+7)(p+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 (p+7)(3p+2)=(p+7)(p+7) equation: 


Simplifying
(p + 7)(3p + 2) = (p + 7)(p + 7)

Reorder the terms:
(7 + p)(3p + 2) = (p + 7)(p + 7)

Reorder the terms:
(7 + p)(2 + 3p) = (p + 7)(p + 7)

Multiply (7 + p) * (2 + 3p)
(7(2 + 3p) + p(2 + 3p)) = (p + 7)(p + 7)
((2 * 7 + 3p * 7) + p(2 + 3p)) = (p + 7)(p + 7)
((14 + 21p) + p(2 + 3p)) = (p + 7)(p + 7)
(14 + 21p + (2 * p + 3p * p)) = (p + 7)(p + 7)
(14 + 21p + (2p + 3p2)) = (p + 7)(p + 7)

Combine like terms: 21p + 2p = 23p
(14 + 23p + 3p2) = (p + 7)(p + 7)

Reorder the terms:
14 + 23p + 3p2 = (7 + p)(p + 7)

Reorder the terms:
14 + 23p + 3p2 = (7 + p)(7 + p)

Multiply (7 + p) * (7 + p)
14 + 23p + 3p2 = (7(7 + p) + p(7 + p))
14 + 23p + 3p2 = ((7 * 7 + p * 7) + p(7 + p))
14 + 23p + 3p2 = ((49 + 7p) + p(7 + p))
14 + 23p + 3p2 = (49 + 7p + (7 * p + p * p))
14 + 23p + 3p2 = (49 + 7p + (7p + p2))

Combine like terms: 7p + 7p = 14p
14 + 23p + 3p2 = (49 + 14p + p2)

Solving
14 + 23p + 3p2 = 49 + 14p + p2

Solving for variable 'p'.

Reorder the terms:
14 + -49 + 23p + -14p + 3p2 + -1p2 = 49 + 14p + p2 + -49 + -14p + -1p2

Combine like terms: 14 + -49 = -35
-35 + 23p + -14p + 3p2 + -1p2 = 49 + 14p + p2 + -49 + -14p + -1p2

Combine like terms: 23p + -14p = 9p
-35 + 9p + 3p2 + -1p2 = 49 + 14p + p2 + -49 + -14p + -1p2

Combine like terms: 3p2 + -1p2 = 2p2
-35 + 9p + 2p2 = 49 + 14p + p2 + -49 + -14p + -1p2

Reorder the terms:
-35 + 9p + 2p2 = 49 + -49 + 14p + -14p + p2 + -1p2

Combine like terms: 49 + -49 = 0
-35 + 9p + 2p2 = 0 + 14p + -14p + p2 + -1p2
-35 + 9p + 2p2 = 14p + -14p + p2 + -1p2

Combine like terms: 14p + -14p = 0
-35 + 9p + 2p2 = 0 + p2 + -1p2
-35 + 9p + 2p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-35 + 9p + 2p2 = 0

Factor a trinomial.
(-7 + -1p)(5 + -2p) = 0


Subproblem 1
Set the factor '(-7 + -1p)' equal to zero and attempt to solve:

Simplifying
-7 + -1p = 0

Solving
-7 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1p = 0 + 7
-1p = 0 + 7

Combine like terms: 0 + 7 = 7
-1p = 7

Divide each side by '-1'.
p = -7

Simplifying
p = -7

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

Simplifying
5 + -2p = 0

Solving
5 + -2p = 0

Move all terms containing p to the left, all other terms to the right.

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

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

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

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5
Solution
p = {-7, 2.5}

See similar equations:

| 2w^2+3w-324=0 | | 4(c+2)=3c-4 | | 7x+12*(6x-6)=44 | | x^2+3x=-8 | | 8x+1-x=6+6x-3 | | 3.5x-6=3x-8 | | 4w^2-12at+9t^2= | | 2x^2+5x+2=252 | | x+16x=25 | | .2x-.6=.8x-.4 | | X+3x=27 | | 18b^3-12b^2+2b= | | 3k+4=k+10 | | n+4n=185 | | (2x)^1/2-(x-3)^1/2=(5+x)^1/2 | | .37x=1.85 | | 6x^4-48x^2-54=0 | | 4(2+3x)-2=46 | | 5/5-11i | | 4w^2-96=0 | | .5x-.5+2=6x-6 | | 19=-3(2x+4) | | .5x-2.5=6x-6 | | =2b^3-2b^2+2b | | 25+5x=3x+21 | | s=-200+.5y | | y=-200+.5y | | 11(t-5)+3t=7(2t+4)-10 | | 2(x-3)-15=21 | | 0=4x^5-4x^2+3 | | X/9+22=37 | | .25(1x+3)=4x+-2x-3 |

Equations solver categories