(3a-5)(2a-7)=

Simple and best practice solution for (3a-5)(2a-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 (3a-5)(2a-7)= equation: 


Simplifying
(3a + -5)(2a + -7) = 0

Reorder the terms:
(-5 + 3a)(2a + -7) = 0

Reorder the terms:
(-5 + 3a)(-7 + 2a) = 0

Multiply (-5 + 3a) * (-7 + 2a)
(-5(-7 + 2a) + 3a * (-7 + 2a)) = 0
((-7 * -5 + 2a * -5) + 3a * (-7 + 2a)) = 0
((35 + -10a) + 3a * (-7 + 2a)) = 0
(35 + -10a + (-7 * 3a + 2a * 3a)) = 0
(35 + -10a + (-21a + 6a2)) = 0

Combine like terms: -10a + -21a = -31a
(35 + -31a + 6a2) = 0

Solving
35 + -31a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + -3a)(7 + -2a) = 0


Subproblem 1
Set the factor '(5 + -3a)' equal to zero and attempt to solve:

Simplifying
5 + -3a = 0

Solving
5 + -3a = 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 + -3a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3a = 0 + -5
-3a = 0 + -5

Combine like terms: 0 + -5 = -5
-3a = -5

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667

Subproblem 2
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
Solution
a = {1.666666667, 3.5}

See similar equations:

| 4+0.3r=r-8 | | 6x-7+6x=53 | | -7(5x-3)-8+27x=85 | | 7(4s+3)=133 | | 20x^4=10000 | | 18y-14=90 | | x^3+3x^2+2x=210 | | -4(4x-7)+5x=4(2x-4)+3x | | 3a+7=12 | | 4-(9g-5)=5 | | 12+8n-n=-4-n | | x^2+16x-160=0 | | -7x^6-42x^5+112x^4=0 | | 4z-8= | | 5y=8/2=-20 | | 5x(8+n)=50 | | 2x*-2=48 | | 6x^2-12x-15=3 | | u^2+4u+24=0 | | 2x/3-8=12 | | 8.4o-6.8=14.2-5 | | 2(2-4)=12 | | 3q^2+2q-16=0 | | -10(7x+6)=-480 | | 6(2x+1)-8x-10=36 | | a=1/2*9*16 | | 22+3y=-5 | | 12q^2+28q+8= | | 7r-4r=16+r | | 14=7z-7 | | Log(7)(3x-5)-log(7)(x-5)=log(7)8 | | -2x-5a-7x+2a= |

Equations solver categories