2x(x-2)=x+25

Simple and best practice solution for 2x(x-2)=x+25 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)=x+25 equation: 


Simplifying
2x(x + -2) = x + 25

Reorder the terms:
2x(-2 + x) = x + 25
(-2 * 2x + x * 2x) = x + 25
(-4x + 2x2) = x + 25

Reorder the terms:
-4x + 2x2 = 25 + x

Solving
-4x + 2x2 = 25 + x

Solving for variable 'x'.

Reorder the terms:
-25 + -4x + -1x + 2x2 = 25 + x + -25 + -1x

Combine like terms: -4x + -1x = -5x
-25 + -5x + 2x2 = 25 + x + -25 + -1x

Reorder the terms:
-25 + -5x + 2x2 = 25 + -25 + x + -1x

Combine like terms: 25 + -25 = 0
-25 + -5x + 2x2 = 0 + x + -1x
-25 + -5x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-25 + -5x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-2.5, 5}

See similar equations:

| 12-8x=-2(-3+8) | | 5+2xa=7-4a | | -5(8-v)=8v-19 | | 5+2xa=7-4x | | 6x^2=24x | | -36-7a=6(5-3a) | | 2-h= | | 43.5=us | | 2h*.5h= | | 2x+5=4x-7 | | 5x+2=7x-4 | | 9x^2-100y^2=0 | | 2timesa=7-4timesa | | r^2+16r+63=0 | | 4x+y=10 | | 11x+44x^2y=0 | | 2e^2g+2fg+4e^2h+4fh=0 | | (((0.006*54*1.42)*(580158-x)*(1.515)-((200080-x)*1.5))*(1.515)-200022)*(2.015)-180056=0 | | 2x^2+4x=0 | | 15x-10=7x+46 | | -15-x=-9 | | 24x^2+24x+9=0 | | 4x^4-12x^2+9=0 | | -14x-1=-12x-5 | | T^2-40t-20=0 | | 3a(3+5)=123489a-345 | | 6x-8=-2x-72 | | 100-x=1 | | p+q=20 | | -2x=-46 | | -6x=-126 | | -6x=126 |

Equations solver categories