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

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


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

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

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

Multiply (2 + 4a) * (-7 + 3a)
(2(-7 + 3a) + 4a * (-7 + 3a)) = 0
((-7 * 2 + 3a * 2) + 4a * (-7 + 3a)) = 0
((-14 + 6a) + 4a * (-7 + 3a)) = 0
(-14 + 6a + (-7 * 4a + 3a * 4a)) = 0
(-14 + 6a + (-28a + 12a2)) = 0

Combine like terms: 6a + -28a = -22a
(-14 + -22a + 12a2) = 0

Solving
-14 + -22a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + -11a + 6a2) = 0

Factor a trinomial.
2((-1 + -2a)(7 + -3a)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -2a = 0

Solving
-1 + -2a = 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 + -2a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2a = 0 + 1
-2a = 0 + 1

Combine like terms: 0 + 1 = 1
-2a = 1

Divide each side by '-2'.
a = -0.5

Simplifying
a = -0.5

Subproblem 2
Set the factor '(7 + -3a)' equal to zero and attempt to solve:

Simplifying
7 + -3a = 0

Solving
7 + -3a = 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 + -3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3a = 0 + -7
-3a = 0 + -7

Combine like terms: 0 + -7 = -7
-3a = -7

Divide each side by '-3'.
a = 2.333333333

Simplifying
a = 2.333333333
Solution
a = {-0.5, 2.333333333}

See similar equations:

| 80+6x=145-145-7x | | -24-4(x+2)=4c | | -7a+4(a+6)=6 | | 4F+5g+6f-7g+f= | | 3=x-15 | | 7x+14y-z=7 | | -6x-37=-5(6x-7) | | B=100-6r | | -4(-3n-4)=6n-32 | | 5z-1=x+11 | | Z^3-5z^2+9z-9=0 | | 6u+3-2(-4u-2)=2(u-1) | | 6n-15n=63 | | 8x-10+2x=45-x | | 8x+34=-6(1-3x) | | 100-x=34 | | 8x+45=138 | | 3(-2)+4=y | | -7(x+5)-42=2-30 | | 4(u+6)=-5(2u-6)+6u | | 6(-7p-6)=36-6p | | 6(X-6)=2x+8 | | 33=(4+5t) | | 81y=20(4y+12) | | 6x-18=3x-12 | | 15-8m=-7(6-7m) | | ax-2bx=8b-4a | | -9-(-1)-(-8)= | | 6v-3+3(2v+5)=-2(v+3) | | 13-47=3(x-5)-7 | | 2x+4ax+5a=x-a | | -6-14=-6 |

Equations solver categories