0=(-2x^2)+8x-16

Simple and best practice solution for 0=(-2x^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 0=(-2x^2)+8x-16 equation: 


Simplifying
0 = (-2x2) + 8x + -16

Reorder the terms:
0 = -16 + 8x + (-2x2)

Solving
0 = -16 + 8x + (-2x2)

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -8x + (2x2) = -16 + 8x + (-2x2) + 16 + -8x + (2x2)

Reorder the terms:
16 + -8x + (2x2) = -16 + 16 + 8x + -8x + (-2x2) + (2x2)

Combine like terms: -16 + 16 = 0
16 + -8x + (2x2) = 0 + 8x + -8x + (-2x2) + (2x2)
16 + -8x + (2x2) = 8x + -8x + (-2x2) + (2x2)

Combine like terms: 8x + -8x = 0
16 + -8x + (2x2) = 0 + (-2x2) + (2x2)
16 + -8x + (2x2) = (-2x2) + (2x2)

Combine like terms: (-2x2) + (2x2) = 0
16 + -8x + (2x2) = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
8 + -4x + x2 = 0

Solving
8 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -4x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4x + x2 = 0 + -8
-4x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-4x + x2 = -8

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -8 + 4

Reorder the terms:
4 + -4x + x2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + -4x + x2 = -4

Factor a perfect square on the left side:
(x + -2)(x + -2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| (k-15)/7=(-1) | | -3x-14=-28 | | 5.6x-14.9=18.7 | | 2x+y=1.50 | | 2+3t=8-3t | | 18-x^2=39 | | 35x1/7 | | https://schoology.lsr7.org/system/files/attachments/page_embeds/m/2016-06/c7485f9626a9164a6161abff9751fc85___574f222c4eef6.png | | x+10+5=180 | | 12*k-13=59 | | 3x-8x-8-14=0 | | -104=y-67 | | 3x+6=2(2x+7) | | (k-15)/7-(-1) | | 2x^2/71=-163 | | -8(y-9)=-9y | | 4*7/2 | | 4(2x-2)=8x+k | | (3/4)b-(1/5)b=11 | | (3x+4)+(2x+1)+(x-16)=90 | | 7+3x-10=-12 | | (5+x)(10+x)=54 | | 3x-4=2(7x+7) | | 3a+2=18 | | [k-15]/7=-1 | | x+sqrt(2x-6)=sqrt(8x+9) | | 2(y-1)=y+6x(x+1) | | Kx^2+(k+1)*x+k=0 | | x(x-1)+y=2x-6 | | (3x+4)+(2x+1)+(x-16)= | | 8(t-2)+6t=7(2t+5)-9 | | x(x-1)+y=3x-5 |

Equations solver categories