2x(x-2)=8x(2)-5x

Simple and best practice solution for 2x(x-2)=8x(2)-5x 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(x-2)=8x(2)-5x equation: 


Simplifying
2x(x + -2) = 8x(2) + -5x

Reorder the terms:
2x(-2 + x) = 8x(2) + -5x
(-2 * 2x + x * 2x) = 8x(2) + -5x
(-4x + 2x2) = 8x(2) + -5x

Reorder the terms for easier multiplication:
-4x + 2x2 = 8 * 2x + -5x

Multiply 8 * 2
-4x + 2x2 = 16x + -5x

Combine like terms: 16x + -5x = 11x
-4x + 2x2 = 11x

Solving
-4x + 2x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-4x + -11x + 2x2 = 11x + -11x

Combine like terms: -4x + -11x = -15x
-15x + 2x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-15x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 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 '(-15 + 2x)' equal to zero and attempt to solve:

Simplifying
-15 + 2x = 0

Solving
-15 + 2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 0 + 15
2x = 0 + 15

Combine like terms: 0 + 15 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5
Solution
x = {0, 7.5}

See similar equations:

| A=.5*b*h | | 0.15x+0.8(x-1)=0.01(2x-2) | | 4(2-2x)+15=-57 | | -10=5(2m-4) | | 13m=15m+4 | | -49=5(1+4m)-2m | | 3t^2+8t+5=0 | | x=4x+5xg | | 2(5x)+2(7x+60)=360 | | Q+7=6x+7 | | 90+b+(b+45)+(2b-90)=540 | | 6(-1)=7 | | r-12=34 | | 42c+1-38c=21 | | 14r+12s= | | 3x+(x+25)=435 | | -f(x)=4x^2+2x+9 | | 7-16x=-2 | | -3x^2-18x+24=0 | | 17x+y=0 | | 0.15x+0.9(x-2)=0.01(3x-2) | | 4(z-2)=4z-8 | | E+(-0.2)=-3.2 | | -6(-6x-1)=14 | | -14x+20+20x^2= | | -2+3(x+5)=38 | | 13m=15+4 | | (2y+5)+(5y-17)=180 | | 4+7(x-1)=-39+x | | 3n-2=-10-n | | 50-7x=50 | | 18-2(g-6)=4g+6 |

Equations solver categories