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:
3x2 = -7 + 8x

Solving
3x2 = -7 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 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:

| 2x^3+12x^2+x+6= | | -x/3=-12 | | 4x+11x=70 | | r^2-9r+18= | | 6x+194=4x+174 | | 8b-7=11+3b | | 7(5a-2)=6(6a-1) | | 7/8x-2+1/4x=7/32x+1/8 | | t^2+7=3t | | x^2+2xy-6y^2+5x+5y+4=0 | | 3(x+7y)-5(x+7y)+9(2x-2y)= | | (5x-2)2=15 | | 3/4+1/2=14 | | (x+6)2=10 | | 48a^2-42a^3= | | 3x^2+4=-9x | | 4d-2c=5 | | 4h^4+32h^3-8h^2= | | 7x^9+7x^8-35x^7+63x^6= | | 33-x/2=30 | | (2-3j)+4= | | 7(6x-1)=63x | | 142=4x+2 | | z-8z=7z-6-z | | X^2-2x+4y-3=0 | | 3(6x-7)+4=18x-17 | | 10m=4m | | 2/3x+16=-14 | | 3p-28=3 | | -16=21-n | | 6x^8-48x^6= | | x^2-1x=15 |

Equations solver categories