3x^2+2=7x-8

Simple and best practice solution for 3x^2+2=7x-8 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 3x^2+2=7x-8 equation: 


Simplifying
3x2 + 2 = 7x + -8

Reorder the terms:
2 + 3x2 = 7x + -8

Reorder the terms:
2 + 3x2 = -8 + 7x

Solving
2 + 3x2 = -8 + 7x

Solving for variable 'x'.

Reorder the terms:
2 + 8 + -7x + 3x2 = -8 + 7x + 8 + -7x

Combine like terms: 2 + 8 = 10
10 + -7x + 3x2 = -8 + 7x + 8 + -7x

Reorder the terms:
10 + -7x + 3x2 = -8 + 8 + 7x + -7x

Combine like terms: -8 + 8 = 0
10 + -7x + 3x2 = 0 + 7x + -7x
10 + -7x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -7x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -2.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -3.333333333
-2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-2.333333333x + x2 = -3.333333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -3.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -3.333333333 + 1.361111112

Combine like terms: -3.333333333 + 1.361111112 = -1.972222221
1.361111112 + -2.333333333x + x2 = -1.972222221

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -1.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2x^2+x+210=0 | | -10=-4-10 | | 5+3m=5m+19 | | 2x(3-6)=5x-6 | | -5(5+5x)=0 | | -3(-1x-1)=-18 | | s=2m+2v | | -x-1=-31+5x | | y+2x=12 | | 4x+2y=-40 | | y=5.40+.10*12 | | y=2.40+.10*12 | | 6x+4y=1 | | 5y-1=9 | | 2n^2-5n+1=5 | | 6y-1=3y+14 | | y=2.40+.10*24 | | 24=2.40+.10*x | | 4x^2=3x-3 | | 6-4e^2-5x=-11 | | x*.10+2.40=24 | | 4*(x+7)=2.5 | | (x+5)(x+5)=10 | | -6x^2+7x=-10 | | 2x^2+6x+25=0 | | 2(x+2)=x-9 | | x*x+6x+9=0 | | 3.4x-1.72=1.36-4.3x | | 4(3-7x)=-11 | | 1x^3+4x^2-6x-5=0 | | 3.4x-1.72=1.36-4.3 | | 2-5(4t-3)=9-(6t-2) |

Equations solver categories