(2a-5b)(7a+b)=

Simple and best practice solution for (2a-5b)(7a+b)= 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 (2a-5b)(7a+b)= equation: 


Simplifying
(2a + -5b)(7a + b) = 0

Multiply (2a + -5b) * (7a + b)
(2a * (7a + b) + -5b * (7a + b)) = 0
((7a * 2a + b * 2a) + -5b * (7a + b)) = 0

Reorder the terms:
((2ab + 14a2) + -5b * (7a + b)) = 0
((2ab + 14a2) + -5b * (7a + b)) = 0
(2ab + 14a2 + (7a * -5b + b * -5b)) = 0
(2ab + 14a2 + (-35ab + -5b2)) = 0

Reorder the terms:
(2ab + -35ab + 14a2 + -5b2) = 0

Combine like terms: 2ab + -35ab = -33ab
(-33ab + 14a2 + -5b2) = 0

Solving
-33ab + 14a2 + -5b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -5b)(7a + b) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7a + b)' equal to zero and attempt to solve:

Simplifying
7a + b = 0

Solving
7a + b = 0

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

Add '-1b' to each side of the equation.
7a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
7a + 0 = 0 + -1b
7a = 0 + -1b
Remove the zero:
7a = -1b

Divide each side by '7'.
a = -0.1428571429b

Simplifying
a = -0.1428571429b
Solution
a = {2.5b, -0.1428571429b}

See similar equations:

| a-(4-a)-4=14 | | 40=w+4w | | 16-(2-3i)-i=0 | | 182=29-u | | sin(5x)cos(2x)+cos(5x)sin(2x)=-.8 | | 2/p=1/3/2 | | v+42=-9(v+7) | | 0.44y-88+0.02y=0.12y+14 | | 3x-(4x^2-2x)+9x^2= | | W+4w=40 | | -6.5(n-5)=18.2 | | x^2p^2+xyp-6y^2=0 | | 12y+24=180 | | 3a-2a+a=5-11 | | 4-2x+5(-30-8x)=22 | | 9r^2-23r-12=0 | | p-4=9+2p | | 6+4(6x+7)= | | 3x+2x-9=6+5 | | a-6/a-3=-3/2 | | t^4+1=0 | | 2a+6=-3a-3 | | 169=m*m | | 2x+2(-6-4)=15 | | 2a-6=-3a+3 | | -7y^2-6y+9=0 | | 82+2=-54 | | -2a+6=3a-3 | | 4x-2y+7z=16 | | 10/11x-9/11=7 | | -5n^2-6n+1=0 | | X^2-7x+x=180 |

Equations solver categories