3x(x-3)=5x^2-10x

Simple and best practice solution for 3x(x-3)=5x^2-10x 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 3x(x-3)=5x^2-10x equation: 


Simplifying
3x(x + -3) = 5x2 + -10x

Reorder the terms:
3x(-3 + x) = 5x2 + -10x
(-3 * 3x + x * 3x) = 5x2 + -10x
(-9x + 3x2) = 5x2 + -10x

Reorder the terms:
-9x + 3x2 = -10x + 5x2

Solving
-9x + 3x2 = -10x + 5x2

Solving for variable 'x'.

Reorder the terms:
-9x + 10x + 3x2 + -5x2 = -10x + 5x2 + 10x + -5x2

Combine like terms: -9x + 10x = 1x
1x + 3x2 + -5x2 = -10x + 5x2 + 10x + -5x2

Combine like terms: 3x2 + -5x2 = -2x2
1x + -2x2 = -10x + 5x2 + 10x + -5x2

Reorder the terms:
1x + -2x2 = -10x + 10x + 5x2 + -5x2

Combine like terms: -10x + 10x = 0
1x + -2x2 = 0 + 5x2 + -5x2
1x + -2x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
1x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -2x) = 0


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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}

See similar equations:

| 2x-5=3x-2 | | 6w-7=6(4W+2) | | (x+4)*(x+14)=900 | | 9x^2-2x=0 | | 4(4x-2)=8(3+x) | | (2x+136)=(2x+24) | | 10+12+12= | | (13-6)+8= | | 3-(16-15)= | | 3x+4y-8x-7y+5= | | 2(x+2)=6x | | 3x+9=21+x | | -4*2= | | -6+x=16 | | 9x+6=9x+2 | | (x-7)-3x= | | 6W-7=6(2w+2) | | 3(3y+1)=13y-9 | | 36-(8+10)= | | .4x+2=.75 | | 5w-7=5(2w+2) | | (x^2)-11x+28=0 | | -33x^2+8x+1=0 | | 5x=10-4(x-2) | | 136-5x=31x+13 | | 6x+8=2(3x+4) | | -x+7=-12-x | | 5w-7=2W+4 | | 16-(2+5)= | | 5x+13=43-9x | | 12-9= | | 38=-3(4y+2)+1 |

Equations solver categories