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

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


Simplifying
2(3a + -5) + -1(3a + -5)(3a + -5) = 0

Reorder the terms:
2(-5 + 3a) + -1(3a + -5)(3a + -5) = 0
(-5 * 2 + 3a * 2) + -1(3a + -5)(3a + -5) = 0
(-10 + 6a) + -1(3a + -5)(3a + -5) = 0

Reorder the terms:
-10 + 6a + -1(-5 + 3a)(3a + -5) = 0

Reorder the terms:
-10 + 6a + -1(-5 + 3a)(-5 + 3a) = 0

Multiply (-5 + 3a) * (-5 + 3a)
-10 + 6a + -1(-5(-5 + 3a) + 3a * (-5 + 3a)) = 0
-10 + 6a + -1((-5 * -5 + 3a * -5) + 3a * (-5 + 3a)) = 0
-10 + 6a + -1((25 + -15a) + 3a * (-5 + 3a)) = 0
-10 + 6a + -1(25 + -15a + (-5 * 3a + 3a * 3a)) = 0
-10 + 6a + -1(25 + -15a + (-15a + 9a2)) = 0

Combine like terms: -15a + -15a = -30a
-10 + 6a + -1(25 + -30a + 9a2) = 0
-10 + 6a + (25 * -1 + -30a * -1 + 9a2 * -1) = 0
-10 + 6a + (-25 + 30a + -9a2) = 0

Reorder the terms:
-10 + -25 + 6a + 30a + -9a2 = 0

Combine like terms: -10 + -25 = -35
-35 + 6a + 30a + -9a2 = 0

Combine like terms: 6a + 30a = 36a
-35 + 36a + -9a2 = 0

Solving
-35 + 36a + -9a2 = 0

Solving for variable 'a'.

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


Subproblem 1
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

Subproblem 2
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
Solution
a = {2.333333333, 1.666666667}

See similar equations:

| 0=-3y | | 9x^2+3kx+k=0 | | 3x-6-5x=x+6+x | | -2y-x=-18 | | -4y+10=.2(3y+1) | | (-2+15)-(-4)= | | -10x+-6x= | | 7t+1/7=(t+9/14)+(t-7/14) | | -4.8x-3x=9.3 | | 245.76-75.00=m | | 4a-4b=12 | | 6x-5=3+4x | | s=j+y+m | | 9xy-13xy=-20 | | x+30+x+2/5x+3/5x=360 | | 28x^2+34x-12=0 | | 265-32=s | | -4x+7+3x=11 | | 75-6x=8x-19 | | (x-3)/2+(3/2)=-x/5 | | 30x+1-30x+1= | | 2x-12=44-2x | | 458+192=t | | -3-(3-10)= | | -31=-7x+2x+4 | | (3x/14)+(3x/7)=9 | | 6p+9p=-7 | | 4243-2994=d | | x^2-22x+60=0 | | (x-2)(x+1)=x^2+4x | | -2/3n=-4 | | -3+6x=-6x-27 |

Equations solver categories