3x^2-8x=-7

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


Simplifying
3x2 + -8x = -7

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

Solving
-8x + 3x2 = -7

Solving for variable 'x'.

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

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

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

Divide each side by '3'.
2.333333333 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -2.666666667x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -2.666666667x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -2.333333333
-2.666666667x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-2.666666667x + x2 = -2.333333333

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -2.333333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -2.333333333 + 1.777777780

Combine like terms: -2.333333333 + 1.777777780 = -0.555555553
1.777777780 + -2.666666667x + x2 = -0.555555553

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -0.555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (4/13)/(5/12)= | | x^2-8x+y^2+4y-30=0 | | x+12=8x-2 | | x-6=1x-14 | | 37*x+(1-x)*35=35,5 | | 2/3x-1=11 | | 54-6x=12x-24 | | xx=5x | | 13-8x=10x-23 | | 5x+12=-44-10x | | 105-4x=2x-21 | | 9x+2=7x-12 | | -35-5x=13-10x | | c/2=9 | | X=3200*.80 | | 8.4=128 | | x+2-6x=x-9 | | 3-0.3k=3 | | -x+9=30 | | ((5y-2)/8)=(2+(y/4)) | | x+2-6x=x-(9-5x) | | 2z+4z=5z-4 | | 216x^6+1/64 | | 6t-t-4=4t-5 | | 6x+x-8=6x+3 | | (x-1)(x-1)(x-1)=y | | 2g(g+7)= | | H(4-5h)= | | x^3-7x=0 | | 6/z-4.4=0.4 | | x^1/2/x^3/4 | | 6/4.8 |

Equations solver categories