x^2-14x+49=20

Simple and best practice solution for x^2-14x+49=20 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^2-14x+49=20 equation: 


Simplifying
x2 + -14x + 49 = 20

Reorder the terms:
49 + -14x + x2 = 20

Solving
49 + -14x + x2 = 20

Solving for variable 'x'.

Reorder the terms:
49 + -20 + -14x + x2 = 20 + -20

Combine like terms: 49 + -20 = 29
29 + -14x + x2 = 20 + -20

Combine like terms: 20 + -20 = 0
29 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -14x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -14x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -14x + x2 = 0 + -29
-14x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-14x + x2 = -29

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -29 + 49

Reorder the terms:
49 + -14x + x2 = -29 + 49

Combine like terms: -29 + 49 = 20
49 + -14x + x2 = 20

Factor a perfect square on the left side:
(x + -7)(x + -7) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + -7) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + -7 = 4.472135955

Simplifying
x + -7 = 4.472135955

Reorder the terms:
-7 + x = 4.472135955

Solving
-7 + x = 4.472135955

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 4.472135955 + 7

Combine like terms: -7 + 7 = 0
0 + x = 4.472135955 + 7
x = 4.472135955 + 7

Combine like terms: 4.472135955 + 7 = 11.472135955
x = 11.472135955

Simplifying
x = 11.472135955


Subproblem 2
x + -7 = -4.472135955

Simplifying
x + -7 = -4.472135955

Reorder the terms:
-7 + x = -4.472135955

Solving
-7 + x = -4.472135955

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -4.472135955 + 7

Combine like terms: -7 + 7 = 0
0 + x = -4.472135955 + 7
x = -4.472135955 + 7

Combine like terms: -4.472135955 + 7 = 2.527864045
x = 2.527864045

Simplifying
x = 2.527864045


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.472135955, 2.527864045}

See similar equations:

| -1x-8=3x+4 | | 1=1b+11 | | 5x^2-12x-13=0 | | 3a+12=2a-108 | | 25=6x+7 | | 4h=72 | | x-3.5=5.4 | | 0=6u+19 | | -4=1halfx+6 | | 10x+24=0 | | 20y=-6 | | 2(9-1)+7(n+6)=35 | | 2x-1=44 | | 10x=9x-19 | | 3x-6=-1x+10 | | 58x=-2 | | 3x-6=1x+10 | | 18x^4+57x^3-10x^2=0 | | 15-28i=0 | | 5x+6+3x=10 | | 2x-2=3x+4 | | 10x+24x=0 | | 6y+21=9 | | 5a+7=18 | | 8y-3(4-2y)=6(y-1) | | 6x+7=7x+13 | | 9-5(2x+5)=35 | | 2x(x-7)=9x | | 14-3(5t-12)=1-(20+t) | | -2x-9=1x+9 | | -1x=80 | | 18x+5=149 |

Equations solver categories