45a^5b^3+54a^4b^4=0

Simple and best practice solution for 45a^5b^3+54a^4b^4=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 45a^5b^3+54a^4b^4=0 equation:


Simplifying
45a5b3 + 54a4b4 = 0

Reorder the terms:
54a4b4 + 45a5b3 = 0

Solving
54a4b4 + 45a5b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9a4b3'.
9a4b3(6b + 5a) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'a4b3' equal to zero and attempt to solve: Simplifying a4b3 = 0 Solving a4b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4b3 = 0 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 '(6b + 5a)' equal to zero and attempt to solve: Simplifying 6b + 5a = 0 Reorder the terms: 5a + 6b = 0 Solving 5a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 5a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 5a + 0 = 0 + -6b 5a = 0 + -6b Remove the zero: 5a = -6b Divide each side by '5'. a = -1.2b Simplifying a = -1.2b

Solution

a = {-1.2b}

See similar equations:

| (m-5)(5m+2)=0 | | 3*x+1=16 | | 4x^4-45x^2+81=0 | | 0.45=-9x | | (r-1)(5r-1)=0 | | 10x+1=-19 | | z/3=z+9/7 | | 28=8x+6x | | 12/3=20x | | 1.4m-2-1.166m=-13 | | 0.056(6-m)-2.4(2)=-0.35m | | 4-15=z/-3 | | -8k+16=-3(k+3) | | 4y^5+8y^3-6y^2=0 | | (5k+4)(k-5)=0 | | x^3-9x^2+14x+24=0 | | x+99=227 | | f(x)=1-3(2) | | 14x(5)=5 | | -18=x+34 | | f(x)=1-3x | | 7x-5x=2 | | .5x+x+(x+5)=100 | | (4n-1)(3n-4)=0 | | 284-2x=43x+24 | | 4x+30=-2x | | -2(p+3)+2=4-p | | 12s+4s=10s-12 | | 7=15-2x^2 | | 35/120 | | 3(9c-1)=3c+9 | | 0.125d-4+0.375d-4=5 |

Equations solver categories