x^2-10+49=4x+1

Simple and best practice solution for x^2-10+49=4x+1 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^2-10+49=4x+1 equation:


Simplifying
x2 + -10 + 49 = 4x + 1

Reorder the terms:
-10 + 49 + x2 = 4x + 1

Combine like terms: -10 + 49 = 39
39 + x2 = 4x + 1

Reorder the terms:
39 + x2 = 1 + 4x

Solving
39 + x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
39 + -1 + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: 39 + -1 = 38
38 + -4x + x2 = 1 + 4x + -1 + -4x

Reorder the terms:
38 + -4x + x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
38 + -4x + x2 = 0 + 4x + -4x
38 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
38 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-38' to each side of the equation.
38 + -4x + -38 + x2 = 0 + -38

Reorder the terms:
38 + -38 + -4x + x2 = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -4x + x2 = 0 + -38
-4x + x2 = 0 + -38

Combine like terms: 0 + -38 = -38
-4x + x2 = -38

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -38 + 4

Reorder the terms:
4 + -4x + x2 = -38 + 4

Combine like terms: -38 + 4 = -34
4 + -4x + x2 = -34

Factor a perfect square on the left side:
(x + -2)(x + -2) = -34

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (x-9)+7= | | (3y-5)(y+7v-2)= | | (6x+9)-2x-5=38 | | .5x=.5x-25 | | 4-9x^2= | | 5(2x-8)-4=5(x-4)+21 | | 4n^3-32n^2+60n= | | 18-4z^2=34 | | 9x-3+5x+39=106 | | 8y^2+6y+15=0 | | 1000+2x=1500 | | x*xa=bx | | ax*x=bx | | 5867+B=2341 | | 7-9x-(x+12)=25 | | 5x+8y=136 | | 16x^8+10x^3-2x=0 | | 4x-2x=20 | | 96x^2-326x-511=0 | | x^6-4x^3=5 | | .5log(y)+log(x)=log(300) | | 8y+8y+6y+6y= | | -4q+8=-29-16 | | -9*M=54 | | 11+8x=3-5x | | -16x^2+320x+32=4832 | | m^4+8m^3+24m^2+32m+16=0 | | 4(2p-1)-(p+5)= | | A^2=-10a-21 | | h-32=-16t^2+320t | | -9m+41=-13 | | 36x^2+8x-3=0 |

Equations solver categories