100=-2x^2+20x-2

Simple and best practice solution for 100=-2x^2+20x-2 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 100=-2x^2+20x-2 equation: 


Simplifying
100 = -2x2 + 20x + -2

Reorder the terms:
100 = -2 + 20x + -2x2

Solving
100 = -2 + 20x + -2x2

Solving for variable 'x'.

Combine like terms: 100 + 2 = 102
102 + -20x + 2x2 = -2 + 20x + -2x2 + 2 + -20x + 2x2

Reorder the terms:
102 + -20x + 2x2 = -2 + 2 + 20x + -20x + -2x2 + 2x2

Combine like terms: -2 + 2 = 0
102 + -20x + 2x2 = 0 + 20x + -20x + -2x2 + 2x2
102 + -20x + 2x2 = 20x + -20x + -2x2 + 2x2

Combine like terms: 20x + -20x = 0
102 + -20x + 2x2 = 0 + -2x2 + 2x2
102 + -20x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
102 + -20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(51 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(51 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
51 + -10x + x2 = 0

Solving
51 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + -10x + -51 + x2 = 0 + -51

Reorder the terms:
51 + -51 + -10x + x2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -10x + x2 = 0 + -51
-10x + x2 = 0 + -51

Combine like terms: 0 + -51 = -51
-10x + x2 = -51

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -51 + 25

Reorder the terms:
25 + -10x + x2 = -51 + 25

Combine like terms: -51 + 25 = -26
25 + -10x + x2 = -26

Factor a perfect square on the left side:
(x + -5)(x + -5) = -26

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:

| 5(c+2)=21 | | 4*0+y=-7 | | 2x^2=3-7x | | p=-2x^2+20x-2 | | -2(p-6)=-14 | | 3z^4-81z=0 | | m^2+3m=2 | | 0.20x+0.35(70)=28.5 | | -9+y^5=8 | | 3=7-x/8 | | 97-3x=42x+22 | | 2r^2-8r+3=0 | | 0.65x+0.05(4-x)=0.10(-46) | | (16x^8)^1/2 | | 0=-16t^2+96t+72 | | -12=14y-10y^2 | | x+5-3*2=4 | | 2(2x+y)=2(11) | | 119+12m=347 | | 2r^2+9r=35 | | 1(-6x-2y)=1(-29) | | 5x=2x+3x*(-2)-(-5*(-3)) | | 4x-24y=-28 | | 2x^2+2y^2=8 | | 0.9x-1.8=3.8x+2.3 | | 31n-204=323 | | 3t-15=t^2-25 | | 0.6x+5.5=1.6 | | 5/x=30 | | 12x+9=17x-6 | | n(n-2)(n-3)=0 | | 3p-12=9p-36 |

Equations solver categories