4x^2+21x=-27

Simple and best practice solution for 4x^2+21x=-27 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 4x^2+21x=-27 equation:


Simplifying
4x2 + 21x = -27

Reorder the terms:
21x + 4x2 = -27

Solving
21x + 4x2 = -27

Solving for variable 'x'.

Reorder the terms:
27 + 21x + 4x2 = -27 + 27

Combine like terms: -27 + 27 = 0
27 + 21x + 4x2 = 0

Factor a trinomial.
(3 + x)(9 + 4x) = 0

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25

Solution

x = {-3, -2.25}

See similar equations:

| 4.1(2p+1)-3.1= | | x-1/2=1/7 | | (x+3)(x+11)=57 | | 1m+5=11-5m | | 12x^2=27x | | 5v-1=-1-8v | | 1-3k=-3k-3 | | 5/6x=1,720,000 | | F(x-4)=x^2-3 | | 5b+4=4+5b | | 84r=3948 | | y=(-1/3)-3-5 | | 4k+4k+16=1+5k | | 3x+y=125 | | X^2-3x-350=0 | | 8(5x+2)-6x=16 | | 8(5x+2)-6x=61 | | x-8y=90 | | 8(5x+2)-6x=6 | | 7-33c-10c^2=0 | | -r=-r+2 | | -56=-7(8-8x) | | -6(m+5)=-36 | | 54=-6(-4b+7) | | 8x-12=x-2 | | -(r-3)=3 | | 40t=20 | | 6(a-2)=8 | | -56x^4-8x^3=0 | | sqrtm+13=5 | | 8cos(8x)=8-8cos(8x) | | 3w+33=6 |

Equations solver categories