y^4-7y^2=0

Simple and best practice solution for y^4-7y^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 y^4-7y^2=0 equation: 


Simplifying
y4 + -7y2 = 0

Reorder the terms:
-7y2 + y4 = 0

Solving
-7y2 + y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-7 + y2) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(-7 + y2)' equal to zero and attempt to solve:

Simplifying
-7 + y2 = 0

Solving
-7 + y2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + y2 = 0 + 7
y2 = 0 + 7

Combine like terms: 0 + 7 = 7
y2 = 7

Simplifying
y2 = 7

Take the square root of each side:
y = {-2.645751311, 2.645751311}
Solution
y = {0, -2.645751311, 2.645751311}

See similar equations:

| 4(3I-2)=8I-5 | | -5-(15y-y)=2(7y-16)-y | | 8s-18s+12s=-14 | | 4k-8+6=-22 | | -6u-(-12u)+(-10)=2 | | 3y^2-15x^2+18=0 | | p^2-132=0 | | 5(p-2)+3p=-4p+6 | | 2x+25=57 | | 5(p-2)+3p=-4 | | 38-3x=12+10k | | 8x-16=9x+2 | | log(a^2-6a)=log(10+3a) | | 102+100+92+5x+16=180 | | 9c-7c+c=18 | | 2u+6=2 | | 4x^2-ax+b=0 | | g-g+g-g+g=20 | | -19b-b-(-15b)+(-b)=12 | | 8r-7r=13 | | 85+69+6x+22+x+37=180 | | -51=-6x+5(2x-3) | | 9u+10u-15u=-12 | | (9a+9)-(7a-3)= | | x=-2-2+99 | | 4(1+c)-(3+c)=15 | | y=-8e^2x | | 4x+4=4x+16 | | -14c+10c+c+2c=9 | | 17z-16z+z-2z+2z=20 | | 3x+12=6x+24 | | 4(1+3)-(3+c)=15 |

Equations solver categories