(2X-3)(-3X+5)=

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


Simplifying
(2X + -3)(-3X + 5) = 0

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

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

Multiply (-3 + 2X) * (5 + -3X)
(-3(5 + -3X) + 2X * (5 + -3X)) = 0
((5 * -3 + -3X * -3) + 2X * (5 + -3X)) = 0
((-15 + 9X) + 2X * (5 + -3X)) = 0
(-15 + 9X + (5 * 2X + -3X * 2X)) = 0
(-15 + 9X + (10X + -6X2)) = 0

Combine like terms: 9X + 10X = 19X
(-15 + 19X + -6X2) = 0

Solving
-15 + 19X + -6X2 = 0

Solving for variable 'X'.

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


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

Simplifying
-5 + 3X = 0

Solving
-5 + 3X = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3X = 0 + 5

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

Combine like terms: 0 + 5 = 5
3X = 5

Divide each side by '3'.
X = 1.666666667

Simplifying
X = 1.666666667

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

Simplifying
3 + -2X = 0

Solving
3 + -2X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2X = 0 + -3
-2X = 0 + -3

Combine like terms: 0 + -3 = -3
-2X = -3

Divide each side by '-2'.
X = 1.5

Simplifying
X = 1.5
Solution
X = {1.666666667, 1.5}

See similar equations:

| x/2,5=5,6 | | 6x-30+5=5x-35 | | 2000000/950000=3000000/x | | -7z+21=-42 | | 2c-1=3c-6 | | 3t^2-2t-3=0 | | 7m+10=5m+22 | | 6-(y+3)=24 | | 8g+5=4g+21 | | 1/7y-6=-5 | | 12x+2=352 | | 2y-3/-7=5 | | 7=3t | | Y^2+6y-238=0 | | 119=x-5(-4x-7) | | 1=-10x+121 | | 2r=3+8r | | -0.6x+0.4x-3=6 | | 0.6x+0.4x-3=6 | | 7x+5=200 | | 3x+5(x-7)=3(x-5) | | 16x+4=100 | | 6a*7=4a+7 | | 0.6x-0.5x+3=-3 | | 4[6-9(1+2m)]+10m=2(10-3m)+8m | | 5(x+4)+7=5x+5 | | 85+x=6x+45 | | 2(x+4)=4(x-2) | | X-(3/100)x=19.40 | | .85x=50000 | | abs(x+1)=abs(x-3) | | -7(v+3)+4v+6=8v+7 |

Equations solver categories