5-4a(a+2)=7+a

Simple and best practice solution for 5-4a(a+2)=7+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 5-4a(a+2)=7+a equation: 


Simplifying
5 + -4a(a + 2) = 7 + a

Reorder the terms:
5 + -4a(2 + a) = 7 + a
5 + (2 * -4a + a * -4a) = 7 + a
5 + (-8a + -4a2) = 7 + a

Solving
5 + -8a + -4a2 = 7 + a

Solving for variable 'a'.

Reorder the terms:
5 + -7 + -8a + -1a + -4a2 = 7 + a + -7 + -1a

Combine like terms: 5 + -7 = -2
-2 + -8a + -1a + -4a2 = 7 + a + -7 + -1a

Combine like terms: -8a + -1a = -9a
-2 + -9a + -4a2 = 7 + a + -7 + -1a

Reorder the terms:
-2 + -9a + -4a2 = 7 + -7 + a + -1a

Combine like terms: 7 + -7 = 0
-2 + -9a + -4a2 = 0 + a + -1a
-2 + -9a + -4a2 = a + -1a

Combine like terms: a + -1a = 0
-2 + -9a + -4a2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 9a + 4a2) = 0

Factor a trinomial.
-1((2 + a)(1 + 4a)) = 0

Ignore the factor -1.

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

Simplifying
2 + a = 0

Solving
2 + a = 0

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

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

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2

Subproblem 2
Set the factor '(1 + 4a)' equal to zero and attempt to solve:

Simplifying
1 + 4a = 0

Solving
1 + 4a = 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 + 4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4a = 0 + -1
4a = 0 + -1

Combine like terms: 0 + -1 = -1
4a = -1

Divide each side by '4'.
a = -0.25

Simplifying
a = -0.25
Solution
a = {-2, -0.25}

See similar equations:

| (x+4)(x+4)=(x+3)(x+3) | | (1/5)*(e^(-4x)) | | -30+x+x^2=0 | | -4.5+8.1=-3.5 | | 3/4b+8=-12 | | 522+n=741 | | (3/m^2)=((m-4)/(3m^2))+(2/(3m^2)) | | 7s-49=-7 | | -2.1+1/6a=3.6 | | 3715+987+850= | | 72+4-14d=34 | | 9u^4y^2-16v^4=0 | | 3x=2-1/2 | | 40=-8r+24 | | 6(3a+4b)=18a+4b | | 40=-8r | | 36x^2y^4-25u^4v^6=0 | | 4x-7+6x-4=9+25+5 | | 5(5x-10)=25(x-10) | | -5/3(-15)=a | | 7.8+(9.3)= | | a+5.5=17.3 | | -12y-24=-24 | | 3x+5y=76 | | 6g+4(-6+4g)=1-g | | 17x=-17 | | x+.4=9 | | 6=-6y-30 | | 2(x-1)-3(x+1)=4(x-2) | | 204x^2-204=0 | | 1/3(x-8)-7/2(5x-5)=7/12 | | 3y^2-52y+178=0 |

Equations solver categories