-10n^2+4n-10=-8

Simple and best practice solution for -10n^2+4n-10=-8 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 -10n^2+4n-10=-8 equation: 


Simplifying
-10n2 + 4n + -10 = -8

Reorder the terms:
-10 + 4n + -10n2 = -8

Solving
-10 + 4n + -10n2 = -8

Solving for variable 'n'.

Reorder the terms:
-10 + 8 + 4n + -10n2 = -8 + 8

Combine like terms: -10 + 8 = -2
-2 + 4n + -10n2 = -8 + 8

Combine like terms: -8 + 8 = 0
-2 + 4n + -10n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2n + -5n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 2n + -5n2)' equal to zero and attempt to solve:

Simplifying
-1 + 2n + -5n2 = 0

Solving
-1 + 2n + -5n2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.2 + -0.4n + n2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.4n + -0.2 + n2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.4n + n2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4n + n2 = 0 + -0.2
-0.4n + n2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.4n + n2 = -0.2

The n term is -0.4n.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4n + 0.04 + n2 = -0.2 + 0.04

Reorder the terms:
0.04 + -0.4n + n2 = -0.2 + 0.04

Combine like terms: -0.2 + 0.04 = -0.16
0.04 + -0.4n + n2 = -0.16

Factor a perfect square on the left side:
(n + -0.2)(n + -0.2) = -0.16

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(w+4)=-3w-12 | | 1/4a-4=7/4a-3 | | 5x-2=-6(x+4) | | X+2.5X=13457500 | | 2n-7n=-7n-6 | | (xcos(x))dx+(1-6y^5)dy=0 | | (2u+3)(7+u)=0 | | 34-2(a-25)=15-a | | -15+2k=-6(k+2)+5 | | 3(3x-6)-5=3(x-5)+28 | | 5n^2-22=-n | | 2x=-3x-5 | | y+3*y=12 | | 7-3,3x=2x-9,7 | | 2x+5=-3-5 | | 4(v-2)=2-6v | | .33(x+3)=.25(3x+2) | | 3x+2y+5x-4y+x= | | 4x+15=41 | | 2logx+3=5 | | 5/8x-1/4=7/8x-2/5 | | 3y-3=11y+29 | | -2x^2=-54 | | 2+6n=n-6+4n | | 2-2(2a+1)= | | -5x=4x+27 | | 10x+24=6x+8 | | 8x+(2x+30)=180 | | 72=(2x-8) | | N=12+7n | | (2x-6y+3)dx-(x+3y+1)dy=0 | | (14-5i)-i*z-z-i=0 |

Equations solver categories