x^2-4x+4=5x-14

Simple and best practice solution for x^2-4x+4=5x-14 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^2-4x+4=5x-14 equation: 


Simplifying
x2 + -4x + 4 = 5x + -14

Reorder the terms:
4 + -4x + x2 = 5x + -14

Reorder the terms:
4 + -4x + x2 = -14 + 5x

Solving
4 + -4x + x2 = -14 + 5x

Solving for variable 'x'.

Reorder the terms:
4 + 14 + -4x + -5x + x2 = -14 + 5x + 14 + -5x

Combine like terms: 4 + 14 = 18
18 + -4x + -5x + x2 = -14 + 5x + 14 + -5x

Combine like terms: -4x + -5x = -9x
18 + -9x + x2 = -14 + 5x + 14 + -5x

Reorder the terms:
18 + -9x + x2 = -14 + 14 + 5x + -5x

Combine like terms: -14 + 14 = 0
18 + -9x + x2 = 0 + 5x + -5x
18 + -9x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -9x + x2 = 0

Factor a trinomial.
(3 + -1x)(6 + -1x) = 0


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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {3, 6}

See similar equations:

| 6x-(5x+6)= | | 3+5x-9=15 | | 1.58g-10=0.27 | | 2(3X+4)+10= | | 3(x-4)=-6+4 | | 9s+7=16 | | 3=0.06t | | 12x+11=20-4x | | 5X+10-7X+6= | | 7x+4x+2+6=8x+3+3x | | 3(3a+5)-7=89 | | 1b-9b=48*17 | | X^2-2xy+16y=0 | | 5d+20=30 | | -2(x+5)=14+3(x-2) | | 34=x+172 | | p-24=22 | | 11x-42=15+8x | | 228-w=58 | | 8x+7=3x-10 | | 4-3n=34 | | 12x-5x+3=10 | | 19=-1d+16 | | 19=-1d+1 | | -7x-7x=-70 | | -3n+3=33 | | 4x+6y+8=180 | | g(x)=5x+50 | | 20=-3d+11 | | 6a-7=4a-3 | | 8-(2x-16)=-14 | | 8x+1+4x+11=180 |

Equations solver categories