8a^2(2a^2-3a+11)=0

Simple and best practice solution for 8a^2(2a^2-3a+11)=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 8a^2(2a^2-3a+11)=0 equation: 


Simplifying
8a2(2a2 + -3a + 11) = 0

Reorder the terms:
8a2(11 + -3a + 2a2) = 0
(11 * 8a2 + -3a * 8a2 + 2a2 * 8a2) = 0
(88a2 + -24a3 + 16a4) = 0

Solving
88a2 + -24a3 + 16a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(11 + -3a + 2a2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

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

Subproblem 2
Set the factor '(11 + -3a + 2a2)' equal to zero and attempt to solve:

Simplifying
11 + -3a + 2a2 = 0

Solving
11 + -3a + 2a2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
5.5 + -1.5a + a2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -1.5a + -5.5 + a2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -1.5a + a2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -1.5a + a2 = 0 + -5.5
-1.5a + a2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-1.5a + a2 = -5.5

The a term is -1.5a.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5a + 0.5625 + a2 = -5.5 + 0.5625

Reorder the terms:
0.5625 + -1.5a + a2 = -5.5 + 0.5625

Combine like terms: -5.5 + 0.5625 = -4.9375
0.5625 + -1.5a + a2 = -4.9375

Factor a perfect square on the left side:
(a + -0.75)(a + -0.75) = -4.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

See similar equations:

| (3)+2(3)-48= | | -6n+4n=16 | | 98=7(k-5) | | -10+10x=160 | | 11.04+6(4.9-3.7)= | | B-4.5=3.2 | | Y=x*3-3x*2+12 | | 210=-10(-2+x) | | 6h=-48 | | lnx=0.8 | | 20-8+4= | | y=(2x-1) | | 2(7)+4=x | | x(x+12)=x(x+14)+12 | | -4.55=-12.2+v | | 6(a-7)=3(4a+4) | | 10M*5P+6Q+3P= | | 12y-37y=17 | | 10M^5P+6Q+3P= | | 12x+8=13x-8 | | 15-t+8t=-3 | | y^4n+y^2n= | | 5(4+15)=5y-60 | | 8=(x-1.5)+(x+1.5)+(x+1) | | -5+5b-8b=-2b-1 | | 8d-4d-6d-8=2 | | (4)(-4)(2)= | | 7(x-1)=2x+28 | | 3x+4w=12 | | 2.5(6x-4)=10+4(1.5+0.5x) | | w=10+-7t | | x^2y^4-x^2y-4x^2= |

Equations solver categories