7-8a(a+1)=8+a

Simple and best practice solution for 7-8a(a+1)=8+a 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 7-8a(a+1)=8+a equation: 


Simplifying
7 + -8a(a + 1) = 8 + a

Reorder the terms:
7 + -8a(1 + a) = 8 + a
7 + (1 * -8a + a * -8a) = 8 + a
7 + (-8a + -8a2) = 8 + a

Solving
7 + -8a + -8a2 = 8 + a

Solving for variable 'a'.

Reorder the terms:
7 + -8 + -8a + -1a + -8a2 = 8 + a + -8 + -1a

Combine like terms: 7 + -8 = -1
-1 + -8a + -1a + -8a2 = 8 + a + -8 + -1a

Combine like terms: -8a + -1a = -9a
-1 + -9a + -8a2 = 8 + a + -8 + -1a

Reorder the terms:
-1 + -9a + -8a2 = 8 + -8 + a + -1a

Combine like terms: 8 + -8 = 0
-1 + -9a + -8a2 = 0 + a + -1a
-1 + -9a + -8a2 = a + -1a

Combine like terms: a + -1a = 0
-1 + -9a + -8a2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 9a + 8a2) = 0

Factor a trinomial.
-1((1 + a)(1 + 8a)) = 0

Ignore the factor -1.

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

Simplifying
1 + a = 0

Solving
1 + a = 0

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

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

Combine like terms: 1 + -1 = 0
0 + a = 0 + -1
a = 0 + -1

Combine like terms: 0 + -1 = -1
a = -1

Simplifying
a = -1

Subproblem 2
Set the factor '(1 + 8a)' equal to zero and attempt to solve:

Simplifying
1 + 8a = 0

Solving
1 + 8a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8a = 0 + -1
8a = 0 + -1

Combine like terms: 0 + -1 = -1
8a = -1

Divide each side by '8'.
a = -0.125

Simplifying
a = -0.125
Solution
a = {-1, -0.125}

See similar equations:

| 21-4b=9 | | -5s+17=57 | | 4+2b=12 | | -7f-f=-1+9f | | 190-5x= | | -14r-164-9r+168=12 | | -4j-h+9+2j-2h-5= | | 10n+9=4n-9+9n | | 12-80x+5=4 | | 7-8a=8+a | | -15=(3x-10)-5x | | -7f-f=z | | -3A-3-6A+5=10 | | 7-8a=a | | 2y=27-7y | | (-m/8)+7=5 | | x^2+7x-18x=0 | | 5(5-5x)=250 | | 8v-11=7v-6-5 | | 35x^2+37-6=0 | | -2j+3h+4= | | -9a=7 | | -8-6(7r-2)=88 | | 32*L=288 | | -6(n-7)=3(-4n+4) | | f(x)=3(5)+15 | | 4.2q=-3.74 | | 9(3+n)=4(3+N) | | Fx=8-3x^2 | | 4-8(-6-2r)=164 | | 3m-9-1= | | 6m-5=4m+13 |

Equations solver categories