98a^4-224a^2+128=

Simple and best practice solution for 98a^4-224a^2+128= 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 98a^4-224a^2+128= equation: 


Simplifying
98a4 + -224a2 + 128 = 0

Reorder the terms:
128 + -224a2 + 98a4 = 0

Solving
128 + -224a2 + 98a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(64 + -112a2 + 49a4) = 0

Factor a trinomial.
2((8 + -7a2)(8 + -7a2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -7a2)' equal to zero and attempt to solve:

Simplifying
8 + -7a2 = 0

Solving
8 + -7a2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7a2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7a2 = 0 + -8
-7a2 = 0 + -8

Combine like terms: 0 + -8 = -8
-7a2 = -8

Divide each side by '-7'.
a2 = 1.142857143

Simplifying
a2 = 1.142857143

Take the square root of each side:
a = {-1.069044968, 1.069044968}

Subproblem 2
Set the factor '(8 + -7a2)' equal to zero and attempt to solve:

Simplifying
8 + -7a2 = 0

Solving
8 + -7a2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7a2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7a2 = 0 + -8
-7a2 = 0 + -8

Combine like terms: 0 + -8 = -8
-7a2 = -8

Divide each side by '-7'.
a2 = 1.142857143

Simplifying
a2 = 1.142857143

Take the square root of each side:
a = {-1.069044968, 1.069044968}
Solution
a = {-1.069044968, 1.069044968, -1.069044968, 1.069044968}

See similar equations:

| 7x+(x-1)=22 | | 4t(2u+4)-6u=-6 | | 4t-6u=-6 | | 106g-13=71 | | Z=2.31 | | 3(3q+4)-5q=8 | | 12A=11A-5 | | 2.50+1.00x=2.75 | | 3x+3-2=43 | | 3-3=17x+15x | | pv=kforv | | 8x-40=-8 | | 8x-3(2x+1)=5 | | 2n+28=96 | | k+1+3k=21 | | (2a+7)=(3a-5) | | 4x+5=3(2x-3) | | m+3k=21 | | 7(29.95)+2(7)=223.65 | | 9m-3=-120 | | 6v^3+4v^2-42v=0 | | x/8+5/6=2 | | 1400x=35 | | 40m=100 | | (2x-9)-24=-17 | | 124-8(12+5)+48= | | 9m-3=120 | | 12.3=0.14x | | 40+m=60 | | (4p-5p+8)+(8p-5)= | | 4(a-2)-6=-9 | | [3x]+8=-14 |

Equations solver categories