24a^4+18a^3b-15a^2b^2=

Simple and best practice solution for 24a^4+18a^3b-15a^2b^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 24a^4+18a^3b-15a^2b^2= equation: 


Simplifying
24a4 + 18a3b + -15a2b2 = 0

Reorder the terms:
-15a2b2 + 18a3b + 24a4 = 0

Solving
-15a2b2 + 18a3b + 24a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2'.
3a2(-5b2 + 6ab + 8a2) = 0

Factor a trinomial.
3a2((-5b + -4a)(b + -2a)) = 0

Ignore the factor 3.

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 '(-5b + -4a)' equal to zero and attempt to solve:

Simplifying
-5b + -4a = 0

Reorder the terms:
-4a + -5b = 0

Solving
-4a + -5b = 0

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

Add '5b' to each side of the equation.
-4a + -5b + 5b = 0 + 5b

Combine like terms: -5b + 5b = 0
-4a + 0 = 0 + 5b
-4a = 0 + 5b
Remove the zero:
-4a = 5b

Divide each side by '-4'.
a = -1.25b

Simplifying
a = -1.25b

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

Simplifying
b + -2a = 0

Reorder the terms:
-2a + b = 0

Solving
-2a + b = 0

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

Add '-1b' to each side of the equation.
-2a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
-2a + 0 = 0 + -1b
-2a = 0 + -1b
Remove the zero:
-2a = -1b

Divide each side by '-2'.
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {0, -1.25b, 0.5b}

See similar equations:

| (4r+7r^2)-(6r^2-6r)= | | 5v-5=25 | | 0.03x+0.5(2x)=566.5 | | 3+-5y=48 | | (4r+7r^2)-(6r^3-6r)= | | 17-3c=8 | | N-(-11)=20 | | 17x+28y=420 | | 4w-17=63 | | (10-2H)+H=425 | | U/3=45 | | 8(3y+7)= | | -7t-15t+4=-18 | | -5(x+6)-43=2-40 | | 4-4(x+6)=28 | | -2j+5j=6 | | (n+1)(n-3)= | | -4(6z+9)= | | 3-8x=75 | | 2k(7k+2)= | | -9-2=3x+5-2x | | (4n+2n^2)+(8n^2+8n)= | | 8x(8x+3)= | | 3b+2.5p=12 | | M=-8/7 | | 9(5-2x)= | | 2x-3(x-5)=5(2x+3) | | 16x+17=9-36x | | 4x+17-3x=-2-11 | | 3x^2-12x+87=0 | | 2x=11-(-1) | | (3x)*(2x+5)=1 |

Equations solver categories