(6b^2-4)(2b^2+3)=

Simple and best practice solution for (6b^2-4)(2b^2+3)= 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 (6b^2-4)(2b^2+3)= equation: 


Simplifying
(6b2 + -4)(2b2 + 3) = 0

Reorder the terms:
(-4 + 6b2)(2b2 + 3) = 0

Reorder the terms:
(-4 + 6b2)(3 + 2b2) = 0

Multiply (-4 + 6b2) * (3 + 2b2)
(-4(3 + 2b2) + 6b2 * (3 + 2b2)) = 0
((3 * -4 + 2b2 * -4) + 6b2 * (3 + 2b2)) = 0
((-12 + -8b2) + 6b2 * (3 + 2b2)) = 0
(-12 + -8b2 + (3 * 6b2 + 2b2 * 6b2)) = 0
(-12 + -8b2 + (18b2 + 12b4)) = 0

Combine like terms: -8b2 + 18b2 = 10b2
(-12 + 10b2 + 12b4) = 0

Solving
-12 + 10b2 + 12b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5b2 + 6b4) = 0

Factor a trinomial.
2((-3 + -2b2)(2 + -3b2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -2b2)' equal to zero and attempt to solve:

Simplifying
-3 + -2b2 = 0

Solving
-3 + -2b2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2b2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2b2 = 0 + 3
-2b2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2b2 = 3

Divide each side by '-2'.
b2 = -1.5

Simplifying
b2 = -1.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + -3b2)' equal to zero and attempt to solve:

Simplifying
2 + -3b2 = 0

Solving
2 + -3b2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3b2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3b2 = 0 + -2
-3b2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3b2 = -2

Divide each side by '-3'.
b2 = 0.6666666667

Simplifying
b2 = 0.6666666667

Take the square root of each side:
b = {-0.816496581, 0.816496581}
Solution
b = {-0.816496581, 0.816496581}

See similar equations:

| 12x(x^2-15)= | | 5-3w=7w | | 3(t+75)=-15(10-t) | | m+0.42857142857=0.66666666666-m | | x^5+10x^3+5x=0 | | 5x^2-4w-1=0 | | 4y(5y+7)= | | (x-5)(9x-4)= | | 230X-5600=0 | | F(x)=x^2+4x-8 | | (y+9)(y+8)= | | e(x)+4e(-x)-5=0 | | 2y+6y=4y | | (q+2)(q-5)= | | (6b-5)(8b+3)= | | 708-y=512 | | 10b+9b=12 | | (5r+7)(3r+4)= | | -X^2+7X=-1 | | .25(3+a)=.5 | | 4-5(-4b+3)= | | 10-5x+1=7x+11 | | p+6.5p=51 | | (7p+2)(p+9)= | | -2v-7=-24 | | (7p-2)(p-6)= | | 2x-8=7x+17 | | v=cpu | | -2x-8y=20 | | (z+2)(4z-3)= | | A=2+3t | | 5x+4+11x=180 |

Equations solver categories