7x^2-21x+36=3x-9

Simple and best practice solution for 7x^2-21x+36=3x-9 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 7x^2-21x+36=3x-9 equation: 


Simplifying
7x2 + -21x + 36 = 3x + -9

Reorder the terms:
36 + -21x + 7x2 = 3x + -9

Reorder the terms:
36 + -21x + 7x2 = -9 + 3x

Solving
36 + -21x + 7x2 = -9 + 3x

Solving for variable 'x'.

Reorder the terms:
36 + 9 + -21x + -3x + 7x2 = -9 + 3x + 9 + -3x

Combine like terms: 36 + 9 = 45
45 + -21x + -3x + 7x2 = -9 + 3x + 9 + -3x

Combine like terms: -21x + -3x = -24x
45 + -24x + 7x2 = -9 + 3x + 9 + -3x

Reorder the terms:
45 + -24x + 7x2 = -9 + 9 + 3x + -3x

Combine like terms: -9 + 9 = 0
45 + -24x + 7x2 = 0 + 3x + -3x
45 + -24x + 7x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
45 + -24x + 7x2 = 0

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

Divide each side by '7'.
6.428571429 + -3.428571429x + x2 = 0

Move the constant term to the right:

Add '-6.428571429' to each side of the equation.
6.428571429 + -3.428571429x + -6.428571429 + x2 = 0 + -6.428571429

Reorder the terms:
6.428571429 + -6.428571429 + -3.428571429x + x2 = 0 + -6.428571429

Combine like terms: 6.428571429 + -6.428571429 = 0.000000000
0.000000000 + -3.428571429x + x2 = 0 + -6.428571429
-3.428571429x + x2 = 0 + -6.428571429

Combine like terms: 0 + -6.428571429 = -6.428571429
-3.428571429x + x2 = -6.428571429

The x term is -3.428571429x.  Take half its coefficient (-1.714285715).
Square it (2.938775513) and add it to both sides.

Add '2.938775513' to each side of the equation.
-3.428571429x + 2.938775513 + x2 = -6.428571429 + 2.938775513

Reorder the terms:
2.938775513 + -3.428571429x + x2 = -6.428571429 + 2.938775513

Combine like terms: -6.428571429 + 2.938775513 = -3.489795916
2.938775513 + -3.428571429x + x2 = -3.489795916

Factor a perfect square on the left side:
(x + -1.714285715)(x + -1.714285715) = -3.489795916

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5(x-5)-1=-3(-7x+7)-6y | | 2n-8=-54 | | -3-3(2m-6)=3(m+1)-5m | | 3=-5-4x | | 6=2-7x | | 10xy+16x^3=15xy^3+3x+7x^2 | | 24(2x-1)=8(x+2) | | k+8.3=10.8 | | 3x+5-5x+5=6x+7 | | 6(4+v)+35v=12v | | f(2)=x^2-2 | | 7+6(n-5)=7+3(7n+5) | | 3(x+0.75)+2(x+1.50)= | | (-x)(-y)(2-3z)=0 | | 18+(9-3)*3=x | | -3-3(2n-6)=3(m+1)-5m | | 4x+(2x+12)=180 | | 4x^3+2x-8=0 | | 7w-3=39 | | 2cosx/sinx | | .98+4.83=f+4.35f | | 2y+13=49 | | -3(4+3x)=6 | | x+4x+5x=14 | | 3/5x6/7 | | W=5/12=1/2 | | 6x+8=-2x-8 | | 6(3+2m)=(-18) | | 4(w-5)=5(3+w) | | 90+11x+7x=180 | | 3g-2=3g+9 | | 12h-7=-9h-26 |

Equations solver categories