x=-0.5x^2+7x-20

Simple and best practice solution for x=-0.5x^2+7x-20 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 x=-0.5x^2+7x-20 equation: 


Simplifying
x = -0.5x2 + 7x + -20

Reorder the terms:
x = -20 + 7x + -0.5x2

Solving
x = -20 + 7x + -0.5x2

Solving for variable 'x'.

Reorder the terms:
20 + x + -7x + 0.5x2 = -20 + 7x + -0.5x2 + 20 + -7x + 0.5x2

Combine like terms: x + -7x = -6x
20 + -6x + 0.5x2 = -20 + 7x + -0.5x2 + 20 + -7x + 0.5x2

Reorder the terms:
20 + -6x + 0.5x2 = -20 + 20 + 7x + -7x + -0.5x2 + 0.5x2

Combine like terms: -20 + 20 = 0
20 + -6x + 0.5x2 = 0 + 7x + -7x + -0.5x2 + 0.5x2
20 + -6x + 0.5x2 = 7x + -7x + -0.5x2 + 0.5x2

Combine like terms: 7x + -7x = 0
20 + -6x + 0.5x2 = 0 + -0.5x2 + 0.5x2
20 + -6x + 0.5x2 = -0.5x2 + 0.5x2

Combine like terms: -0.5x2 + 0.5x2 = 0.0
20 + -6x + 0.5x2 = 0.0

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

Divide each side by '0.5'.
40 + -12x + x2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -12x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -12x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -12x + x2 = 0 + -40
-12x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-12x + x2 = -40

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -40 + 36

Reorder the terms:
36 + -12x + x2 = -40 + 36

Combine like terms: -40 + 36 = -4
36 + -12x + x2 = -4

Factor a perfect square on the left side:
(x + -6)(x + -6) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -12x^2+42x-20=0 | | -(2x-10)-1=2 | | 3a^2+27b^2+5c^2-18ab-30c=-237 | | 12x^2-42x-20=0 | | 72+13m=293 | | -38=5u+17 | | 24x-26x=8-10 | | 14x^2=18-36x | | (3+3i)-(-2-i)=0 | | 7/3*t=-6/5 | | 15h^2-23h-28=0 | | 7/3t=-6/5 | | z^2+20z+96=0 | | 8x+7z=6+7y | | 12x^2+42x+20=0 | | s^2+6s-40=0 | | -81=6v+7v-16 | | 1/3x=7/5 | | z^2-6z-40=0 | | m^2+17m+70=0 | | 265/384 | | 24g^2+84g+36=0 | | 7s=42/13 | | X+.07X=3 | | 8r=15+3r | | (2x^2+x+9)+(3x^2-4x-5)= | | 2x-1/4x-1 | | b^2+2b-180=0 | | 2/7z=8 | | y-21.95=-13.95 | | (3x-6)+7=2x+8 | | 2X*Y=1000 |

Equations solver categories