x^2=-8x+16

Simple and best practice solution for x^2=-8x+16 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+16 equation:


Simplifying
x2 = -8x + 16

Reorder the terms:
x2 = 16 + -8x

Solving
x2 = 16 + -8x

Solving for variable 'x'.

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

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

Combine like terms: 16 + -16 = 0
-16 + 8x + x2 = 0 + -8x + 8x
-16 + 8x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-16 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + 8x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + 8x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 8x + x2 = 0 + 16
8x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
8x + x2 = 16

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 = 16 + 16

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

Combine like terms: 16 + 16 = 32
16 + 8x + x2 = 32

Factor a perfect square on the left side:
(x + 4)(x + 4) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(x + 4) equal to 5.656854249 and -5.656854249.

Subproblem 1

x + 4 = 5.656854249 Simplifying x + 4 = 5.656854249 Reorder the terms: 4 + x = 5.656854249 Solving 4 + x = 5.656854249 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 5.656854249 + -4 Combine like terms: 4 + -4 = 0 0 + x = 5.656854249 + -4 x = 5.656854249 + -4 Combine like terms: 5.656854249 + -4 = 1.656854249 x = 1.656854249 Simplifying x = 1.656854249

Subproblem 2

x + 4 = -5.656854249 Simplifying x + 4 = -5.656854249 Reorder the terms: 4 + x = -5.656854249 Solving 4 + x = -5.656854249 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -5.656854249 + -4 Combine like terms: 4 + -4 = 0 0 + x = -5.656854249 + -4 x = -5.656854249 + -4 Combine like terms: -5.656854249 + -4 = -9.656854249 x = -9.656854249 Simplifying x = -9.656854249

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.656854249, -9.656854249}

See similar equations:

| 1=.3x-.5x-9 | | p^2+3=-4p | | 125h^2+223=7 | | (2-5m)(-5)=0 | | 6x-15=2.2x-23 | | -5(t-5)+9t=6t-4 | | 35-3.7x(0.13+8)-(1.4)2= | | 7y-4x=11 | | 9x+4-2x=10+6x+4 | | 2x-17.2=11.4 | | 35-3.7x(0.13+8)-1.96= | | 6x-5=7x+2 | | 4(x-4)-2(x-3)=x+3-(x-2) | | 7/12x=14/3 | | 144x^3-x=0 | | 6x+3=3(x+3) | | -7(x+4)-11=14+3 | | (4)y+16=4 | | 0.52x-0.03=5.25-3.88x | | 4x-(5-2x/5)=3/5 | | X^4+3x^2-4x^3-12x=0 | | r^2-r=30 | | -15y+75=-15y-5 | | -1/2*8 | | 12+5w-4w=q | | -1/2(x+8) | | 2(3x-3)=36 | | 6-4y=8-8y+4y | | 12x^2-24x+63=0 | | 23x+7-27x=3-8 | | 6x-2=18x+4 | | 5z+4z=8z+9 |

Equations solver categories