(4a-7)(3a-8)=0

Simple and best practice solution for (4a-7)(3a-8)=0 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-7)(3a-8)=0 equation: 


Simplifying
(4a + -7)(3a + -8) = 0

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

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

Multiply (-7 + 4a) * (-8 + 3a)
(-7(-8 + 3a) + 4a * (-8 + 3a)) = 0
((-8 * -7 + 3a * -7) + 4a * (-8 + 3a)) = 0
((56 + -21a) + 4a * (-8 + 3a)) = 0
(56 + -21a + (-8 * 4a + 3a * 4a)) = 0
(56 + -21a + (-32a + 12a2)) = 0

Combine like terms: -21a + -32a = -53a
(56 + -53a + 12a2) = 0

Solving
56 + -53a + 12a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + -4a)(8 + -3a) = 0


Subproblem 1
Set the factor '(7 + -4a)' equal to zero and attempt to solve:

Simplifying
7 + -4a = 0

Solving
7 + -4a = 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 + -4a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = 0 + -7
-4a = 0 + -7

Combine like terms: 0 + -7 = -7
-4a = -7

Divide each side by '-4'.
a = 1.75

Simplifying
a = 1.75

Subproblem 2
Set the factor '(8 + -3a)' equal to zero and attempt to solve:

Simplifying
8 + -3a = 0

Solving
8 + -3a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3a = 0 + -8
-3a = 0 + -8

Combine like terms: 0 + -8 = -8
-3a = -8

Divide each side by '-3'.
a = 2.666666667

Simplifying
a = 2.666666667
Solution
a = {1.75, 2.666666667}

See similar equations:

| 15/45=x/3 | | 3(5x-1)-14x=3 | | -3x-105=-10x+49 | | f(8)=12 | | 3=-2x+9 | | 5/9d+83=4/9d+92 | | 4x-3(7-x)+2= | | -1.6x^2-3.2x=-18 | | 14-4x=2x+2 | | (15x^4+16x^3-8x)(3x^5+4)= | | X^2-X+XY-Y=0 | | 7(n+2)=-7 | | (-3x+4)+(4x-2)= | | -105-x=7x+47 | | 2b+10=8b-14 | | 3(x+3)-9= | | 20x^2-21x-54=0 | | 5X^4-15X^3+10X^2=0 | | 6.4i+9.2i=50.7 | | 4(4k+1)-8(k-2)=3(2k+4)-2 | | 5x-3=x^2+4x-5 | | (4x-3)-(9x+4)= | | -158-10x=108+9x | | x+1=-74 | | -42-4x=-10x+48 | | 60h-8h= | | 8z=9 | | 5j+j=78 | | -(x/4)=7 | | x+1=74 | | -4x-9x=52 | | (3p-12/15p-18) |

Equations solver categories