(4a-b)(a-6b)+a(25b-3a)=0

Simple and best practice solution for (4a-b)(a-6b)+a(25b-3a)=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 (4a-b)(a-6b)+a(25b-3a)=0 equation: 


Simplifying
(4a + -1b)(a + -6b) + a(25b + -3a) = 0

Multiply (4a + -1b) * (a + -6b)
(4a * (a + -6b) + -1b * (a + -6b)) + a(25b + -3a) = 0
((a * 4a + -6b * 4a) + -1b * (a + -6b)) + a(25b + -3a) = 0

Reorder the terms:
((-24ab + 4a2) + -1b * (a + -6b)) + a(25b + -3a) = 0
((-24ab + 4a2) + -1b * (a + -6b)) + a(25b + -3a) = 0
(-24ab + 4a2 + (a * -1b + -6b * -1b)) + a(25b + -3a) = 0
(-24ab + 4a2 + (-1ab + 6b2)) + a(25b + -3a) = 0

Reorder the terms:
(-24ab + -1ab + 4a2 + 6b2) + a(25b + -3a) = 0

Combine like terms: -24ab + -1ab = -25ab
(-25ab + 4a2 + 6b2) + a(25b + -3a) = 0

Reorder the terms:
-25ab + 4a2 + 6b2 + a(-3a + 25b) = 0
-25ab + 4a2 + 6b2 + (-3a * a + 25b * a) = 0

Reorder the terms:
-25ab + 4a2 + 6b2 + (25ab + -3a2) = 0
-25ab + 4a2 + 6b2 + (25ab + -3a2) = 0

Reorder the terms:
-25ab + 25ab + 4a2 + -3a2 + 6b2 = 0

Combine like terms: -25ab + 25ab = 0
0 + 4a2 + -3a2 + 6b2 = 0
4a2 + -3a2 + 6b2 = 0

Combine like terms: 4a2 + -3a2 = 1a2
1a2 + 6b2 = 0

Solving
1a2 + 6b2 = 0

Solving for variable 'a'.

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

Add '-6b2' to each side of the equation.
1a2 + 6b2 + -6b2 = 0 + -6b2

Combine like terms: 6b2 + -6b2 = 0
1a2 + 0 = 0 + -6b2
1a2 = 0 + -6b2
Remove the zero:
1a2 = -6b2

Divide each side by '1'.
a2 = -6b2

Simplifying
a2 = -6b2

Combine like terms: -6b2 + 6b2 = 0
a2 + 6b2 = 0

The solution to this equation could not be determined.

See similar equations:

| 3(2x+-3)-2(1-x)=x+3 | | 247.2=21.6x+45.6y | | 3m(m+1)= | | 2a(5a+10)+(2a-8)(3a+2)=0 | | 7/(√5-1) | | 7/√5-1 | | (6x+7)-(-9x+8)= | | y(y+2)-2(16-y)=7-[15-y(2+y)] | | 9x+15x=14 | | 3x^2+4x+1=40 | | 10x^3-6x^2-18x-13=0 | | kx^2+6x-18=0 | | 2x/7x-49 | | 3/5x-x=-6 | | 6(3x+2)-5(6x-1)=6(x-3)-5(7x-6)+12x | | (5z-3)(8+z)=0 | | (5z-3)(8+3)=0 | | x+30/11=1 | | x+4/5=7 | | 2400=Pe(0.65) | | 8x+18=4x+102 | | 9-2x=0+4x | | -x+6/4=-2 | | 7n-3=-4(n-1)+5 | | 10(c-2)=-20 | | n-s=z | | 8/x-4/x | | h=0.2x(10-0.2x) | | log^12(v^2+35)=log^12(-12v-1) | | a+r=e | | 375=175 | | (6/5)/30 |

Equations solver categories