4n^2+9n-28=0

Simple and best practice solution for 4n^2+9n-28=0 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 4n^2+9n-28=0 equation:


Simplifying
4n2 + 9n + -28 = 0

Reorder the terms:
-28 + 9n + 4n2 = 0

Solving
-28 + 9n + 4n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-4 + -1n)(7 + -4n) = 0

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 '(7 + -4n)' equal to zero and attempt to solve: Simplifying 7 + -4n = 0 Solving 7 + -4n = 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 + -4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = 0 + -7 -4n = 0 + -7 Combine like terms: 0 + -7 = -7 -4n = -7 Divide each side by '-4'. n = 1.75 Simplifying n = 1.75

Solution

n = {-4, 1.75}

See similar equations:

| p-4=-9+4 | | 24m^3-198m^2+324m=0 | | y=3x+65 | | 2/3x+56=90 | | 9k^3-28k^2+3k=0 | | 8b^2-19b-15=0 | | 247=(x)(x+6) | | 0=1-2b-1 | | 24n^3+126n^2+30n=0 | | -x/6=-9 | | 1/3-1/6+4/18 | | -1.6(X-2.35)=-11.28 | | 4+2k=8 | | 10v^2-57v+54=0 | | 3[2-3(X-2)]=12 | | 6-(2x-13)=5(x+3)-11x | | 4+2g=6 | | 6-6v-3v=-12 | | 5x^2-9x+73=0 | | 10=3t+1 | | -18=M-14 | | 1.5h-72=4h-30 | | X+3(X-7)=19 | | 6x^2-2a=0 | | 4x^2=22 | | 20=x+10 | | 18x-2= | | -5(5-3x)-4x=3-2(x+5) | | 3X-7X+22=2 | | 10r^3+49r^2+49r=0 | | 5x^2-16x+73=0 | | -3(5x-1)-4x=11(-2x-1)+13 |

Equations solver categories