-3.5x^2-4x=6.5

Simple and best practice solution for -3.5x^2-4x=6.5 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 -3.5x^2-4x=6.5 equation:


Simplifying
-3.5x2 + -4x = 6.5

Reorder the terms:
-4x + -3.5x2 = 6.5

Solving
-4x + -3.5x2 = 6.5

Solving for variable 'x'.

Reorder the terms:
-6.5 + -4x + -3.5x2 = 6.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
-6.5 + -4x + -3.5x2 = 0.0

Begin completing the square.  Divide all terms by
-3.5 the coefficient of the squared term: 

Divide each side by '-3.5'.
1.857142857 + 1.142857143x + x2 = 0

Move the constant term to the right:

Add '-1.857142857' to each side of the equation.
1.857142857 + 1.142857143x + -1.857142857 + x2 = 0 + -1.857142857

Reorder the terms:
1.857142857 + -1.857142857 + 1.142857143x + x2 = 0 + -1.857142857

Combine like terms: 1.857142857 + -1.857142857 = 0.000000000
0.000000000 + 1.142857143x + x2 = 0 + -1.857142857
1.142857143x + x2 = 0 + -1.857142857

Combine like terms: 0 + -1.857142857 = -1.857142857
1.142857143x + x2 = -1.857142857

The x term is 1.142857143x.  Take half its coefficient (0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
1.142857143x + 0.3265306123 + x2 = -1.857142857 + 0.3265306123

Reorder the terms:
0.3265306123 + 1.142857143x + x2 = -1.857142857 + 0.3265306123

Combine like terms: -1.857142857 + 0.3265306123 = -1.5306122447
0.3265306123 + 1.142857143x + x2 = -1.5306122447

Factor a perfect square on the left side:
(x + 0.5714285715)(x + 0.5714285715) = -1.5306122447

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -22=-4+3(c+6) | | P(p+22)+120=0 | | 8xw*4w= | | 4x+80=5.5(x+5) | | V-10=-7 | | 12+a=1 | | 95x-54=1113 | | -5/6x=35 | | x(18-x)= | | -32=-5x+7x | | -5/6(210)=35 | | -32=-5x | | 5-4y+y+12= | | 2/3d=-20 | | 1/2x-41 | | -6=w/6 | | 8=-x+100 | | 2x+27=7*x | | 115+65+85+x=360 | | p2-6/13 | | 3(5+3x)=51 | | 81+127+77+x=360 | | 12x-45=32 | | 6x-5=9x+6 | | 4x+110+100+x=360 | | (5x-7)(3x-4)=0 | | 12x/84=36 | | (-10p)-8=2p | | Y^2+13y+9=0 | | ln(2)/(9x^9y) | | 70+70+110+x=360 | | 100+120+55+x=360 |

Equations solver categories