(a-3b)(2a-5b)=

Simple and best practice solution for (a-3b)(2a-5b)= 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 (a-3b)(2a-5b)= equation: 


Simplifying
(a + -3b)(2a + -5b) = 0

Multiply (a + -3b) * (2a + -5b)
(a(2a + -5b) + -3b * (2a + -5b)) = 0
((2a * a + -5b * a) + -3b * (2a + -5b)) = 0

Reorder the terms:
((-5ab + 2a2) + -3b * (2a + -5b)) = 0
((-5ab + 2a2) + -3b * (2a + -5b)) = 0
(-5ab + 2a2 + (2a * -3b + -5b * -3b)) = 0
(-5ab + 2a2 + (-6ab + 15b2)) = 0

Reorder the terms:
(-5ab + -6ab + 2a2 + 15b2) = 0

Combine like terms: -5ab + -6ab = -11ab
(-11ab + 2a2 + 15b2) = 0

Solving
-11ab + 2a2 + 15b2 = 0

Solving for variable 'a'.

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


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

Simplifying
a + -3b = 0

Solving
a + -3b = 0

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

Add '3b' to each side of the equation.
a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
a + 0 = 0 + 3b
a = 0 + 3b
Remove the zero:
a = 3b

Simplifying
a = 3b

Subproblem 2
Set the factor '(2a + -5b)' equal to zero and attempt to solve:

Simplifying
2a + -5b = 0

Solving
2a + -5b = 0

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

Add '5b' to each side of the equation.
2a + -5b + 5b = 0 + 5b

Combine like terms: -5b + 5b = 0
2a + 0 = 0 + 5b
2a = 0 + 5b
Remove the zero:
2a = 5b

Divide each side by '2'.
a = 2.5b

Simplifying
a = 2.5b
Solution
a = {3b, 2.5b}

See similar equations:

| 2z-3=7+2z | | x+2-4=5 | | 20*100= | | 5x-30=10 | | 2x^3-3x^2-11x+15=0 | | 6(7a-5)-[3(4a-3)+3]= | | 12x^5-15x^4=0 | | 5-(5+7)=45 | | 50x^2-18x=0 | | 57-5x=4x+24 | | 83-4x=32x+23 | | 11-8x=83-29x | | 6n^4+n+5n^4= | | x(0)-2x-3(0)+12=0 | | (3x-2)(x+5)-(x-7)(2x+3)= | | 39-5x=13x+15 | | 6n^2+n+4n^2= | | 12x^2+19x-10=0 | | 0y-2(0)-3y+12=0 | | x^2+3x-5=2 | | 42-x=14 | | r^2+5r+84= | | 4n^3+n+3n^3= | | 3x+30=9x | | 5(2x+4)= | | 8-9x=10x+16 | | 4(7m-5)-[2(5m-2)+1]= | | 1.5z=12 | | 100-x=5 | | 3x^2+18x-24=0 | | 4y-8-3y+12=0 | | 12x/154=92x*167 |

Equations solver categories