4a(a-2)-7a(a+3)=

Simple and best practice solution for 4a(a-2)-7a(a+3)= 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 4a(a-2)-7a(a+3)= equation: 


Simplifying
4a(a + -2) + -7a(a + 3) = 0

Reorder the terms:
4a(-2 + a) + -7a(a + 3) = 0
(-2 * 4a + a * 4a) + -7a(a + 3) = 0
(-8a + 4a2) + -7a(a + 3) = 0

Reorder the terms:
-8a + 4a2 + -7a(3 + a) = 0
-8a + 4a2 + (3 * -7a + a * -7a) = 0
-8a + 4a2 + (-21a + -7a2) = 0

Reorder the terms:
-8a + -21a + 4a2 + -7a2 = 0

Combine like terms: -8a + -21a = -29a
-29a + 4a2 + -7a2 = 0

Combine like terms: 4a2 + -7a2 = -3a2
-29a + -3a2 = 0

Solving
-29a + -3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(29 + 3a) = 0

Ignore the factor -1.

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 '(29 + 3a)' equal to zero and attempt to solve:

Simplifying
29 + 3a = 0

Solving
29 + 3a = 0

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

Add '-29' to each side of the equation.
29 + -29 + 3a = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 3a = 0 + -29
3a = 0 + -29

Combine like terms: 0 + -29 = -29
3a = -29

Divide each side by '3'.
a = -9.666666667

Simplifying
a = -9.666666667
Solution
a = {0, -9.666666667}

See similar equations:

| -15=4x+1 | | x+3y=7.5 | | 2m=Q+15 | | 49x^2-64=0 | | -3(x-y)-x(4-y)= | | 300=9p | | 3(r+2)+12-5(r-2)= | | 3r+2t=12 | | 2.8a=16 | | -2.1(x-2)=16.8 | | x^2-25x+100=0 | | -12x-164=92+4x | | 5.4=-7.18x | | j+5=j-7 | | 7b=3b+28 | | 8x+36=4(7-x) | | 5.4=-7.18 | | -15=3(c-2)-3c | | 2r+3t=9 | | 4(w+2x)-16w= | | 2m=15+Q | | 20(x-y)-10(3x-q)= | | 2(3x-4)+5(2x+3)=-9 | | 5y+2=7y | | X^2+4+2=0 | | 12x+5=11x-5 | | 18-3=42 | | -72-4x=88-12x | | -3=22 | | -2=3x+7 | | 3X+x+8= | | 5n-14=3n |

Equations solver categories