p^4+40=14p^2

Simple and best practice solution for p^4+40=14p^2 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+40=14p^2 equation: 


Simplifying
p4 + 40 = 14p2

Reorder the terms:
40 + p4 = 14p2

Solving
40 + p4 = 14p2

Solving for variable 'p'.

Reorder the terms:
40 + -14p2 + p4 = 14p2 + -14p2

Combine like terms: 14p2 + -14p2 = 0
40 + -14p2 + p4 = 0

Factor a trinomial.
(4 + -1p2)(10 + -1p2) = 0

Factor a difference between two squares.
((2 + p)(2 + -1p))(10 + -1p2) = 0


Subproblem 1
Set the factor '(10 + -1p2)' equal to zero and attempt to solve:

Simplifying
10 + -1p2 = 0

Solving
10 + -1p2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1p2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1p2 = 0 + -10
-1p2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1p2 = -10

Divide each side by '-1'.
p2 = 10

Simplifying
p2 = 10

Take the square root of each side:
p = {-3.16227766, 3.16227766}

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

Simplifying
2 + p = 0

Solving
2 + p = 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 + p = 0 + -2

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

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

Simplifying
p = -2

Subproblem 3
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
Solution
p = {-3.16227766, 3.16227766, -2, 2}

See similar equations:

| 27x-1=0 | | (2x-6)-3i-10+3yi= | | 1.3x+x=14000000 | | 2(5x)=3 | | 4x-10*-15=166 | | (3x+1)+(2y-4)+22=180 | | 1/6x=65 | | 8(3x-5)=22 | | 9m^5=27m^3 | | 12(2c-4)=1/3(6c-30) | | X^2+81=9x | | sin(t)-sin(2t)=0 | | 6-4v=30 | | f(x)=x^4-x^2-5 | | m+7+3=5 | | -6x+12x-8=28 | | 5.2a+13=54.6 | | X^3-8x^3+16x=0 | | 4*x=36/x | | 7.04x+56.32=112.64 | | 3i/(4-5i) | | 4x+7=-3 | | 3x-4+4x=-32 | | 3/5÷6 | | X=(12^2/6)-4 | | 8y+12= | | 6x-9x+8=35 | | 12=1-v+3 | | 9=(x*2)-x | | 2^(1/3) | | 1/5x-3=4/5 | | 4(c-3)+2c=36 |

Equations solver categories