x+1-4=x^2+49

Simple and best practice solution for x+1-4=x^2+49 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+1-4=x^2+49 equation:


Simplifying
x + 1 + -4 = x2 + 49

Reorder the terms:
1 + -4 + x = x2 + 49

Combine like terms: 1 + -4 = -3
-3 + x = x2 + 49

Reorder the terms:
-3 + x = 49 + x2

Solving
-3 + x = 49 + x2

Solving for variable 'x'.

Reorder the terms:
-3 + -49 + x + -1x2 = 49 + x2 + -49 + -1x2

Combine like terms: -3 + -49 = -52
-52 + x + -1x2 = 49 + x2 + -49 + -1x2

Reorder the terms:
-52 + x + -1x2 = 49 + -49 + x2 + -1x2

Combine like terms: 49 + -49 = 0
-52 + x + -1x2 = 0 + x2 + -1x2
-52 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-52 + x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
52 + -1x + x2 = 0

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + -1x + -52 + x2 = 0 + -52

Reorder the terms:
52 + -52 + -1x + x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1x + x2 = 0 + -52
-1x + x2 = 0 + -52

Combine like terms: 0 + -52 = -52
-1x + x2 = -52

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -52 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -52 + 0.25

Combine like terms: -52 + 0.25 = -51.75
0.25 + -1x + x2 = -51.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -51.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x+1-4=x^2-49 | | 45x-5=0 | | 68=x-33 | | (x+1)-2=x-7 | | 0.3(x+10)+0.9x=39 | | x^3-4x^2-6x+24=0 | | 0.07-0.007x=0.7 | | 9y^3+8=4y+13y^2 | | 4m+15=6m+39 | | 25w^2-20w+4=0 | | (8x+9)(3x-8)= | | (x+5)(x+15)=0 | | -7(2b-4)=5(-b+6) | | 64x^2-49y^2= | | 4x^2-3X-12X+9= | | -5y=50 | | 6z+2=5z+10 | | y^2+3y-5y-15= | | 26x^2-41xy+3y^2= | | 3r^2+25r+42=0 | | 8+d=3d | | 9x^4-97x^2+144=0 | | 12x^2+133x+11= | | 7(3x-24)=3(7x+14) | | 20+y=40+50 | | 7(x-3)=5x-31 | | -3(x-2)-2(x+4)= | | 17=8+k | | 2x-1=3x+5 | | -4x-11=5x+7 | | 30g+6x=2g-9 | | 8x-1=6x+1 |

Equations solver categories