2n^2=5n+7

Simple and best practice solution for 2n^2=5n+7 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 2n^2=5n+7 equation:


Simplifying
2n2 = 5n + 7

Reorder the terms:
2n2 = 7 + 5n

Solving
2n2 = 7 + 5n

Solving for variable 'n'.

Reorder the terms:
-7 + -5n + 2n2 = 7 + 5n + -7 + -5n

Reorder the terms:
-7 + -5n + 2n2 = 7 + -7 + 5n + -5n

Combine like terms: 7 + -7 = 0
-7 + -5n + 2n2 = 0 + 5n + -5n
-7 + -5n + 2n2 = 5n + -5n

Combine like terms: 5n + -5n = 0
-7 + -5n + 2n2 = 0

Factor a trinomial.
(-1 + -1n)(7 + -2n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5

Solution

n = {-1, 3.5}

See similar equations:

| 8-(4y-2)=3-5y | | w=-.01(260)+100(160)+10000 | | 10x+2=100 | | 5(4x+6)=-35+45 | | 45x+0.12=49.32X | | 2(y-3)=1.2-9 | | -4-33=6y+17 | | 8x-8=8(x-3) | | 2(2x-28)-4+4x=12 | | 15+(4)(3)-2= | | 12x^2(3x^4-2x)= | | 15(n+8)=3(40+5n) | | x+12=3(x+8) | | 5(x+8)-5=35 | | 7x-(25x^2+12x)= | | x+0=3(x+4) | | -2(x+10)=4(5-2x)+8 | | 5=15 | | 5=16 | | 6-(3x-4)=1-4x | | (3-x^2)=1 | | 45-5=x | | a^2=-16+8a | | p^2=-4p+32 | | 6-(3x-4)=1-4z | | 2n^2=48-4n | | 9-18=81x | | 7x-18=5x+4 | | 3x-14=-2 | | x^2-16=6x | | 3(x-7)=5x+2 | | k^2=9k-8 |

Equations solver categories