(a+3b)(7a-2b)=

Simple and best practice solution for (a+3b)(7a-2b)= 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)(7a-2b)= equation: 


Simplifying
(a + 3b)(7a + -2b) = 0

Multiply (a + 3b) * (7a + -2b)
(a(7a + -2b) + 3b * (7a + -2b)) = 0
((7a * a + -2b * a) + 3b * (7a + -2b)) = 0

Reorder the terms:
((-2ab + 7a2) + 3b * (7a + -2b)) = 0
((-2ab + 7a2) + 3b * (7a + -2b)) = 0
(-2ab + 7a2 + (7a * 3b + -2b * 3b)) = 0
(-2ab + 7a2 + (21ab + -6b2)) = 0

Reorder the terms:
(-2ab + 21ab + 7a2 + -6b2) = 0

Combine like terms: -2ab + 21ab = 19ab
(19ab + 7a2 + -6b2) = 0

Solving
19ab + 7a2 + -6b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7a + -2b)(a + 3b) = 0


Subproblem 1
Set the factor '(7a + -2b)' equal to zero and attempt to solve:

Simplifying
7a + -2b = 0

Solving
7a + -2b = 0

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

Add '2b' to each side of the equation.
7a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
7a + 0 = 0 + 2b
7a = 0 + 2b
Remove the zero:
7a = 2b

Divide each side by '7'.
a = 0.2857142857b

Simplifying
a = 0.2857142857b

Subproblem 2
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
Solution
a = {0.2857142857b, -3b}

See similar equations:

| 784=.5y(1.5y+1) | | a^6b^3+27a^3=0 | | X^2-31x-198=0 | | 11x+(5x+4)=180 | | 280=y(34-y) | | (Log1.13)/(log1.13)= | | -9times-13=-103 | | 3t+6t=18 | | 5m^2-13m+6=0 | | (x+5y)(9x-y)= | | 3a-3a^4=0 | | 90+(33k-9)=180 | | 6x-(6-2x)=2 | | x-7/8=-1/2 | | 4y+1=44 | | 70-30x=50+20x | | j^2-42j-144=0 | | -100x^2-100x+400=0 | | 81ax^4-1=0 | | xy=280 | | 3[5m-(m+4)]=-4(m-6) | | 8x/44= | | 28=(1.5y*y)+1 | | 15=11-4x | | (4x-25)=x | | ln(x)=39 | | 4.7x+5.8x+2=20 | | 32/4v | | X=3(y)+2 | | 6x=4.8 | | 3x+40=24 | | x^4+8x-32=0 |

Equations solver categories