a(3a-2)+2a(a+4)=a(a+2)+4a(a-3)+49

Simple and best practice solution for a(3a-2)+2a(a+4)=a(a+2)+4a(a-3)+49 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(3a-2)+2a(a+4)=a(a+2)+4a(a-3)+49 equation: 


Simplifying
a(3a + -2) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 49

Reorder the terms:
a(-2 + 3a) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 49
(-2 * a + 3a * a) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 49
(-2a + 3a2) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 49

Reorder the terms:
-2a + 3a2 + 2a(4 + a) = a(a + 2) + 4a(a + -3) + 49
-2a + 3a2 + (4 * 2a + a * 2a) = a(a + 2) + 4a(a + -3) + 49
-2a + 3a2 + (8a + 2a2) = a(a + 2) + 4a(a + -3) + 49

Reorder the terms:
-2a + 8a + 3a2 + 2a2 = a(a + 2) + 4a(a + -3) + 49

Combine like terms: -2a + 8a = 6a
6a + 3a2 + 2a2 = a(a + 2) + 4a(a + -3) + 49

Combine like terms: 3a2 + 2a2 = 5a2
6a + 5a2 = a(a + 2) + 4a(a + -3) + 49

Reorder the terms:
6a + 5a2 = a(2 + a) + 4a(a + -3) + 49
6a + 5a2 = (2 * a + a * a) + 4a(a + -3) + 49
6a + 5a2 = (2a + a2) + 4a(a + -3) + 49

Reorder the terms:
6a + 5a2 = 2a + a2 + 4a(-3 + a) + 49
6a + 5a2 = 2a + a2 + (-3 * 4a + a * 4a) + 49
6a + 5a2 = 2a + a2 + (-12a + 4a2) + 49

Reorder the terms:
6a + 5a2 = 49 + 2a + -12a + a2 + 4a2

Combine like terms: 2a + -12a = -10a
6a + 5a2 = 49 + -10a + a2 + 4a2

Combine like terms: a2 + 4a2 = 5a2
6a + 5a2 = 49 + -10a + 5a2

Add '-5a2' to each side of the equation.
6a + 5a2 + -5a2 = 49 + -10a + 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
6a + 0 = 49 + -10a + 5a2 + -5a2
6a = 49 + -10a + 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
6a = 49 + -10a + 0
6a = 49 + -10a

Solving
6a = 49 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
6a + 10a = 49 + -10a + 10a

Combine like terms: 6a + 10a = 16a
16a = 49 + -10a + 10a

Combine like terms: -10a + 10a = 0
16a = 49 + 0
16a = 49

Divide each side by '16'.
a = 3.0625

Simplifying
a = 3.0625

See similar equations:

| 2y+8=y+23 | | 6.7x-5=5.7x | | 7n+56n=0 | | 5(5y-5)+3= | | t^2=-5-8 | | y=cosx-sinx | | 30=p-9 | | 13+10k+17-12k= | | 5a-6+a-6= | | -9-(-48)=x/5 | | z-13=41 | | 3k^2-22k-3=4 | | -6x=-4+6 | | 7(8-x)=14 | | 16x-15=17x | | 2x-7+3x-4= | | 4(x-1)+2(+1)=19-2x | | 7x+2x-6x=15+3 | | 0.3(x+40)+0.7x=37 | | y+fx+mf= | | X-1140+y=4660 | | 144x-48/12 | | 27(8-x)=14 | | 6(-4x+1)-6x=66 | | 265+50x=1515 | | 45-126-6= | | .36x-2(1.6x)-8.03=3(1.96x-4.14) | | 5(x+8)-23= | | 3(b+4)+8=-3 | | 50+.40x=260 | | -(-3*-3*-3)= | | 5b=100 |

Equations solver categories