-3n^2+16n-40=-8n^2+6n

Simple and best practice solution for -3n^2+16n-40=-8n^2+6n 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 -3n^2+16n-40=-8n^2+6n equation:


Simplifying
-3n2 + 16n + -40 = -8n2 + 6n

Reorder the terms:
-40 + 16n + -3n2 = -8n2 + 6n

Reorder the terms:
-40 + 16n + -3n2 = 6n + -8n2

Solving
-40 + 16n + -3n2 = 6n + -8n2

Solving for variable 'n'.

Reorder the terms:
-40 + 16n + -6n + -3n2 + 8n2 = 6n + -8n2 + -6n + 8n2

Combine like terms: 16n + -6n = 10n
-40 + 10n + -3n2 + 8n2 = 6n + -8n2 + -6n + 8n2

Combine like terms: -3n2 + 8n2 = 5n2
-40 + 10n + 5n2 = 6n + -8n2 + -6n + 8n2

Reorder the terms:
-40 + 10n + 5n2 = 6n + -6n + -8n2 + 8n2

Combine like terms: 6n + -6n = 0
-40 + 10n + 5n2 = 0 + -8n2 + 8n2
-40 + 10n + 5n2 = -8n2 + 8n2

Combine like terms: -8n2 + 8n2 = 0
-40 + 10n + 5n2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + 2n + n2) = 0

Factor a trinomial.
5((-4 + -1n)(2 + -1n)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4

Subproblem 2

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Solution

n = {-4, 2}

See similar equations:

| 5-6x=2x+53 | | -3x^2+12x+36x= | | 171=65-x | | 22+3y+1+22+3y+1= | | (6x-7)(4x+3)=0 | | 8x^2+5x-6= | | 0.324*0.46= | | 0.5(c-3)-2.66=9.3 | | f(3)+f(4)+f(6)+f(7)=x | | 5c+7=47 | | 13x^2+15=8x^2+20x | | 6z=8z | | 7(4s+8)=252 | | 3p(4p+5)=0 | | x^2-11x=-5x+67 | | 3x^2+v-2= | | 3.24*4.6= | | 5m^2+7m+2= | | -4-3x=x+20 | | 8+9y=11 | | (y-8)+2y=2.67 | | 4v^2-5v-6= | | 7p+7p^2-18=0 | | 6+9y=11 | | x^2=-5x-2 | | a=(20-2x)x | | 90=180x^3 | | k^2-5k+4= | | (B-5)(b+1)=0 | | 5(-7)-9(-2)=-19 | | 12a^2-6=-5a | | 9(7x+7)=7(9-11x) |

Equations solver categories