5a(2a+3b-7)=

Simple and best practice solution for 5a(2a+3b-7)= 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 5a(2a+3b-7)= equation: 


Simplifying
5a(2a + 3b + -7) = 0

Reorder the terms:
5a(-7 + 2a + 3b) = 0
(-7 * 5a + 2a * 5a + 3b * 5a) = 0

Reorder the terms:
(-35a + 15ab + 10a2) = 0
(-35a + 15ab + 10a2) = 0

Solving
-35a + 15ab + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-7 + 3b + 2a) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-7 + 3b + 2a)' equal to zero and attempt to solve:

Simplifying
-7 + 3b + 2a = 0

Reorder the terms:
-7 + 2a + 3b = 0

Solving
-7 + 2a + 3b = 0

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

Add '7' to each side of the equation.
-7 + 2a + 7 + 3b = 0 + 7

Reorder the terms:
-7 + 7 + 2a + 3b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2a + 3b = 0 + 7
2a + 3b = 0 + 7

Combine like terms: 0 + 7 = 7
2a + 3b = 7

Add '-3b' to each side of the equation.
2a + 3b + -3b = 7 + -3b

Combine like terms: 3b + -3b = 0
2a + 0 = 7 + -3b
2a = 7 + -3b

Divide each side by '2'.
a = 3.5 + -1.5b

Simplifying
a = 3.5 + -1.5b
Solution
a = {0, 3.5 + -1.5b}

See similar equations:

| 7*8=m*7 | | 8.5*x=51 | | 10a-2=2a+70 | | 8(x+5)+x=3(x+4)-2 | | 2x+3=12-7x | | x/4-16=54 | | 4(x-8)+12=2(x-4) | | h=-16t[2]+196 | | 10n^2+240n-8800= | | 15/x-360=990 | | f+522=632 | | 4w-7w=24 | | 10n^2+240-8800= | | b+3a=225 | | 12a/4b | | X^5-6x^3-8x-1= | | 7/10x?=1/2 | | 17y-16x=2 | | 17y=16x-2 | | 2x^2+7x=-29 | | 36x+27= | | 20y=-3x-8 | | 20y=-3-8 | | 3y=12x-9+3 | | .05*769= | | x*6+285=1157 | | 2(2+q)-2=8 | | d(7d-6)=0 | | F(1.4t)=t*10 | | 6x+285=1157 | | (2/810^2 | | 21-39= |

Equations solver categories