-4a(a-7)=-10a(4a+5)

Simple and best practice solution for -4a(a-7)=-10a(4a+5) 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-7)=-10a(4a+5) equation:


Simplifying
-4a(a + -7) = -10a(4a + 5)

Reorder the terms:
-4a(-7 + a) = -10a(4a + 5)
(-7 * -4a + a * -4a) = -10a(4a + 5)
(28a + -4a2) = -10a(4a + 5)

Reorder the terms:
28a + -4a2 = -10a(5 + 4a)
28a + -4a2 = (5 * -10a + 4a * -10a)
28a + -4a2 = (-50a + -40a2)

Solving
28a + -4a2 = -50a + -40a2

Solving for variable 'a'.

Reorder the terms:
28a + 50a + -4a2 + 40a2 = -50a + -40a2 + 50a + 40a2

Combine like terms: 28a + 50a = 78a
78a + -4a2 + 40a2 = -50a + -40a2 + 50a + 40a2

Combine like terms: -4a2 + 40a2 = 36a2
78a + 36a2 = -50a + -40a2 + 50a + 40a2

Reorder the terms:
78a + 36a2 = -50a + 50a + -40a2 + 40a2

Combine like terms: -50a + 50a = 0
78a + 36a2 = 0 + -40a2 + 40a2
78a + 36a2 = -40a2 + 40a2

Combine like terms: -40a2 + 40a2 = 0
78a + 36a2 = 0

Factor out the Greatest Common Factor (GCF), '6a'.
6a(13 + 6a) = 0

Ignore the factor 6.

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 '(13 + 6a)' equal to zero and attempt to solve:

Simplifying
13 + 6a = 0

Solving
13 + 6a = 0

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

Add '-13' to each side of the equation.
13 + -13 + 6a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6a = 0 + -13
6a = 0 + -13

Combine like terms: 0 + -13 = -13
6a = -13

Divide each side by '6'.
a = -2.166666667

Simplifying
a = -2.166666667
Solution
a = {0, -2.166666667}

See similar equations:

| 7x-3x+7=3(x-4) | | -x+12-3x=5x-6 | | 9(y+4)+y=2(y+2)+6 | | 10(6)-8y=-8 | | 7+7k=13+6k | | 2(x+1)-12= | | 5x+20=3x-70 | | 6(n-3)=66 | | 8(x+2)=8x-5 | | 4(y+4)=-8 | | 15+6n=n+5 | | -5=-7+2x | | Y=35x-7x | | 10(2)-8y=-8 | | m=-5n+p | | (x+4)+(x+4)+(2x+3)+(2x+3)=(3x+2)+(3x+2)+x+1 | | 15x=12+12x | | -42=14n | | 8x+5y=-20 | | 10x=2.5 | | 4(m-4)=3m-10 | | 2x+1*x=45 | | -5=-7x+-2x | | 3g+4=10-3(g-2) | | A=5x+6x+d | | -2x+14=-6x-8 | | 27=3(-3)-3(6-2(-3)) | | s=t+r | | 10(0)-8y=-8 | | -8n=48 | | 3(-2)-17=7(-2)-9 | | 8x+6x-38=76-5x |

Equations solver categories