x^2-8x=-40

Simple and best practice solution for x^2-8x=-40 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^2-8x=-40 equation:


Simplifying
x2 + -8x = -40

Reorder the terms:
-8x + x2 = -40

Solving
-8x + x2 = -40

Solving for variable 'x'.

Reorder the terms:
40 + -8x + x2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -8x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -8x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -8x + x2 = 0 + -40
-8x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-8x + x2 = -40

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -40 + 16

Reorder the terms:
16 + -8x + x2 = -40 + 16

Combine like terms: -40 + 16 = -24
16 + -8x + x2 = -24

Factor a perfect square on the left side:
(x + -4)(x + -4) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 36x^2-100x=0 | | ln(x)=0.59 | | 9(x+2m+6)= | | -3/4s=-12 | | 4/20=18/m | | 7n^2-20n+12=0 | | 4Y+32=-2y-10 | | 2(x+5)+1=6x-4(-4+x) | | b(43+10b)=9 | | 100x=90(x+3) | | 1/2(n-5) | | A/c-3 | | -11=6+z | | 6+9w=-21 | | 700/0.14 | | 16t^2=2t | | 4x-3[2-(x+1)]= | | 36a^2=4a | | k+2k=3(2k-3)-2(k-1) | | 5+3.50(x-1)=64.50 | | 3b+a=cb | | A+3b=cb | | 6x+3y=24solvexandy | | -x/3.4=-0.4 | | 6+2.50(x-1)=38.50 | | 8n-(-5n+3)=2n-5(-3n-5) | | 2x^2=12x+20 | | 0.06x+0.03(4000-x)=159 | | -(-4x-4)=3(x-3) | | -5(3+b)=5b-5(6b+3) | | (2-i)(7-3i)= | | 8.50h=38.50 |

Equations solver categories