(6a+4)(2a-3)=

Simple and best practice solution for (6a+4)(2a-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 (6a+4)(2a-3)= equation:


Simplifying
(6a + 4)(2a + -3) = 0

Reorder the terms:
(4 + 6a)(2a + -3) = 0

Reorder the terms:
(4 + 6a)(-3 + 2a) = 0

Multiply (4 + 6a) * (-3 + 2a)
(4(-3 + 2a) + 6a * (-3 + 2a)) = 0
((-3 * 4 + 2a * 4) + 6a * (-3 + 2a)) = 0
((-12 + 8a) + 6a * (-3 + 2a)) = 0
(-12 + 8a + (-3 * 6a + 2a * 6a)) = 0
(-12 + 8a + (-18a + 12a2)) = 0

Combine like terms: 8a + -18a = -10a
(-12 + -10a + 12a2) = 0

Solving
-12 + -10a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -5a + 6a2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -3a)' equal to zero and attempt to solve: Simplifying -2 + -3a = 0 Solving -2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = 0 + 2 -3a = 0 + 2 Combine like terms: 0 + 2 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667

Subproblem 2

Set the factor '(3 + -2a)' equal to zero and attempt to solve: Simplifying 3 + -2a = 0 Solving 3 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = 0 + -3 -2a = 0 + -3 Combine like terms: 0 + -3 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5

Solution

a = {-0.6666666667, 1.5}

See similar equations:

| y=-3x^2+8x+5 | | 59(1/4)-26(1/2)= | | 7k-4=5(k+3)+1 | | 3x-9+12x+3=180 | | ab^2(2a-3a^2b+b)-a^2b(1+2ab^2-4b)= | | 6(n+4)=10+2n | | 10(1/2)+14(5/8)+17(3/4)= | | 3Y-7=2y-0,5 | | 180+2.5X=1000 | | 4x-8-6x+10=2 | | 3x(x-4)+2x(1-5x)-6x(2x-3)= | | -5/9-4(5/6)= | | c(2a+b+3c)= | | -3/5-10(7/10)= | | -2x^2+6x-20=0 | | k/6=7/42 | | x^2y^3z(x^4-3x^2y-3yz+4z^2)= | | 3m+12=26-4m | | 2b-5=3 | | 62=3.1x | | 34+3a=42-a | | 90=x+(x+54) | | 8x+5=10x+3 | | 417a(3.2a^2+4a)= | | 7(b-9)-b=-9(7+2b) | | x^2+2kx-5=0 | | 7n^2+7n+10=0 | | -6z=10-5z | | 7=4m-2+1 | | -1/8rs(3s-16t) | | 4a-6=-18 | | -1/2(4x-4y)= |

Equations solver categories