(2a+7)(4a+10)=

Simple and best practice solution for (2a+7)(4a+10)= 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 (2a+7)(4a+10)= equation: 


Simplifying
(2a + 7)(4a + 10) = 0

Reorder the terms:
(7 + 2a)(4a + 10) = 0

Reorder the terms:
(7 + 2a)(10 + 4a) = 0

Multiply (7 + 2a) * (10 + 4a)
(7(10 + 4a) + 2a * (10 + 4a)) = 0
((10 * 7 + 4a * 7) + 2a * (10 + 4a)) = 0
((70 + 28a) + 2a * (10 + 4a)) = 0
(70 + 28a + (10 * 2a + 4a * 2a)) = 0
(70 + 28a + (20a + 8a2)) = 0

Combine like terms: 28a + 20a = 48a
(70 + 48a + 8a2) = 0

Solving
70 + 48a + 8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + 24a + 4a2) = 0

Factor a trinomial.
2((7 + 2a)(5 + 2a)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + 2a)' equal to zero and attempt to solve:

Simplifying
7 + 2a = 0

Solving
7 + 2a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = 0 + -7
2a = 0 + -7

Combine like terms: 0 + -7 = -7
2a = -7

Divide each side by '2'.
a = -3.5

Simplifying
a = -3.5

Subproblem 2
Set the factor '(5 + 2a)' equal to zero and attempt to solve:

Simplifying
5 + 2a = 0

Solving
5 + 2a = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = 0 + -5
2a = 0 + -5

Combine like terms: 0 + -5 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5
Solution
a = {-3.5, -2.5}

See similar equations:

| 10x-5-4x-3+2=0 | | -6=3(3x-5) | | 7x+4=45 | | -12=2(5x-1) | | 21x+15=15 | | -w-2=42 | | 0=x^2+6x-8 | | 6a+2=-a+30 | | (xy)(x^2y)(x^2y)(x^2y)(x^2y)=0 | | 1x+4y=168 | | 21x+5=15 | | x^2-4x-37=0 | | 3x^2+9x-2=-4 | | (xy)(x^2y)(xy)(x^2y)(xy)(x^2y)(xy)(x^2y)=0 | | 3x-5x=8-9 | | log*5(-6-2x)=2 | | (x^2D^2-4xD+6I)y=C | | (xy)(x^2y)(xy)(x^2y)(xy)(x^2y)=0 | | 15y+4=24 | | (5y+6)-(3y+4y)=10 | | a+4=-5a+5 | | 2.7x=0 | | -4b-5=10 | | z^3+3z^2+3z+1=0 | | -5(2y-6)-y=-3(y-3) | | n^2=3n+10 | | (x^9y)(x^9y)(x^9y)(x^9y)(x^9y)(x^9y)(x^9y)(x^9y)(x^9y)=0 | | 28x^8+16x^3-20x^6+12= | | 9x+11= | | 0.8x=-1.2y | | 90+0.60m=60+0.80m | | 4a+2=3b+5 |

Equations solver categories