(p-4)(p-2)=0

Simple and best practice solution for (p-4)(p-2)=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 (p-4)(p-2)=0 equation:


Simplifying
(p + -4)(p + -2) = 0

Reorder the terms:
(-4 + p)(p + -2) = 0

Reorder the terms:
(-4 + p)(-2 + p) = 0

Multiply (-4 + p) * (-2 + p)
(-4(-2 + p) + p(-2 + p)) = 0
((-2 * -4 + p * -4) + p(-2 + p)) = 0
((8 + -4p) + p(-2 + p)) = 0
(8 + -4p + (-2 * p + p * p)) = 0
(8 + -4p + (-2p + p2)) = 0

Combine like terms: -4p + -2p = -6p
(8 + -6p + p2) = 0

Solving
8 + -6p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -1p)(4 + -1p) = 0


Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2

Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {2, 4}

See similar equations:

| b(7b+8)=0 | | 2[3x+4]=8 | | 7z^2-8z-1=0 | | 8x^5=-1000x^2 | | 3-4(t+1)=7 | | 4x^2-3x-22=0 | | 48y^3=3Y | | 2=4(1+z) | | 50b^3+25b^2-18b-9=0 | | (8+w)(w)=100 | | 2x-2(-x+5)=x+(-1) | | 4x-2y-10=0 | | -5z+1=-42 | | 4a-3=28 | | 20=3n-n+6 | | 230-4x=32x+22 | | (4x-2)(x+6)=0 | | 2y^2-5y-12=0 | | 7-10x=72-45x | | 2(x-3)=5(x+2)+2 | | -102-8x=72-45x | | 3m+6-7m=-18 | | x^2-6x-18=0 | | .88*172= | | 6x+29=16x-81 | | [100-12]/100= | | [100-12]/100*172= | | -12=5(p-2) | | 6+22=15x-59 | | logx+log(x+6)=2 | | 2k-5+3k=10 | | 2.3x+4.8=9.3 |

Equations solver categories