x(2x-3)-3x(5-2x)=0

Simple and best practice solution for x(2x-3)-3x(5-2x)=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 x(2x-3)-3x(5-2x)=0 equation: 


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

Reorder the terms:
x(-3 + 2x) + -3x(5 + -2x) = 0
(-3 * x + 2x * x) + -3x(5 + -2x) = 0
(-3x + 2x2) + -3x(5 + -2x) = 0
-3x + 2x2 + (5 * -3x + -2x * -3x) = 0
-3x + 2x2 + (-15x + 6x2) = 0

Reorder the terms:
-3x + -15x + 2x2 + 6x2 = 0

Combine like terms: -3x + -15x = -18x
-18x + 2x2 + 6x2 = 0

Combine like terms: 2x2 + 6x2 = 8x2
-18x + 8x2 = 0

Solving
-18x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 4x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-9 + 4x)' equal to zero and attempt to solve:

Simplifying
-9 + 4x = 0

Solving
-9 + 4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 0 + 9
4x = 0 + 9

Combine like terms: 0 + 9 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {0, 2.25}

See similar equations:

| 1/6(k)=8 | | 1.6666667x^4-16x^3+36x^2=0 | | y=ax-1 | | R/-4=-15 | | 7m=6m-8 | | 5(a-4)=3(2+a) | | 20x^2+31x=7 | | 1.5x+16.5x+20y=180 | | 2x-2=5(x-3)/11 | | x+4=6y | | 1.666667x^4-16x^3+36x=0 | | n-10+9n-4= | | 4-8x-20=24-8x | | 27+p=11 | | 8(-5g+7)=2(-13g+10) | | 4=4-4x-7x | | -15=xy+z | | -9+g=15 | | -1/3=2z=-5/6 | | =60.4v-13.6 | | 18-7k=-8k | | -w=16 | | 10r-8-12= | | 15k+5=k-7 | | 7.69*x=y*1.1 | | 3x+20y=180 | | a/4=1/3 | | 22x=40+18x | | C-4=-23 | | -3n-1=9.2-4.7n | | 7+15w=2-4(5w-3) | | 3x-2X+20=23 |

Equations solver categories