x^2+1=3x^2-13

Simple and best practice solution for x^2+1=3x^2-13 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+1=3x^2-13 equation: 


Simplifying
x2 + 1 = 3x2 + -13

Reorder the terms:
1 + x2 = 3x2 + -13

Reorder the terms:
1 + x2 = -13 + 3x2

Solving
1 + x2 = -13 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
1 + x2 + -3x2 = -13 + 3x2 + -3x2

Combine like terms: x2 + -3x2 = -2x2
1 + -2x2 = -13 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -2x2 = -13 + 0
1 + -2x2 = -13

Add '-1' to each side of the equation.
1 + -1 + -2x2 = -13 + -1

Combine like terms: 1 + -1 = 0
0 + -2x2 = -13 + -1
-2x2 = -13 + -1

Combine like terms: -13 + -1 = -14
-2x2 = -14

Divide each side by '-2'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

See similar equations:

| x^3(x^5)= | | 2=-3a(3-6) | | 7=6q+8 | | -2(4-c)=6c | | cx^2+2cx+4c=0 | | 2(x+x+2)=3x-13 | | 4(g+7)=-64 | | -4(5p+3)-38=5(3p+4) | | 4x+4=3x-13 | | 0=-6(y+4) | | -2+3=x | | -2-3=x | | 0=y-11-2y | | 6(y+1)+2(3-y)=7y | | x-7-4x=-25 | | x=4(4+8)+2(8-4) | | 5e-e+8=0 | | -8x=136 | | (-6)k-13=83 | | 5(2x-3)-(x+9)=21 | | 8(7-y)=6(y+9)+2 | | 16g-11g+15=0 | | 5(4x-6)+30= | | 2(7-w)=2-5w | | 5(4x-6)+30=0 | | 105-81=33y-41y | | -1+11=6b-1-5b | | 12y-8y=44 | | -4(4)-5(9)=x | | 5m-8m=-42 | | 3(r-4)=7(r+2)-2 | | -4(-2)2-5(3)2=x |

Equations solver categories