-4x^2+20=-27x-20

Simple and best practice solution for -4x^2+20=-27x-20 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+20=-27x-20 equation:


Simplifying
-4x2 + 20 = -27x + -20

Reorder the terms:
20 + -4x2 = -27x + -20

Reorder the terms:
20 + -4x2 = -20 + -27x

Solving
20 + -4x2 = -20 + -27x

Solving for variable 'x'.

Reorder the terms:
20 + 20 + 27x + -4x2 = -20 + -27x + 20 + 27x

Combine like terms: 20 + 20 = 40
40 + 27x + -4x2 = -20 + -27x + 20 + 27x

Reorder the terms:
40 + 27x + -4x2 = -20 + 20 + -27x + 27x

Combine like terms: -20 + 20 = 0
40 + 27x + -4x2 = 0 + -27x + 27x
40 + 27x + -4x2 = -27x + 27x

Combine like terms: -27x + 27x = 0
40 + 27x + -4x2 = 0

Factor a trinomial.
(8 + -1x)(5 + 4x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {8, -1.25}

See similar equations:

| 8cos^2(x)-4cos(x)+3=0 | | 11(9-3h)=-8h-1 | | 0=-16t+96t-140 | | 14x15x1/3 | | 21k^2+5k+5=-6k+7 | | 8=-4/5x | | 9x+x=75 | | 1.2-3.4c=-5.6 | | 4(12g-8)-11g=3(3g+8) | | x^3+2x^2+16x+32=0 | | 2(h-1)=-3(h+4) | | 4x-7=-2+5 | | x/10=15/25 | | 26=x+3x | | x^2+x^2+4x+4=x^2+8x+16-7 | | -2(10-a)=36 | | 5x^2+9y^2=45 | | 5(x+14)=x+2.6 | | 8f-3(5-2f)=1-2f | | 552=R(42.3) | | 7^5/3t=18 | | -3/2*6 | | -2=45+7y | | 0.4(2x+.5)=3[0.2x+(-2)]-4 | | 9+36t-16t^2=h | | -3x/2(x-6) | | 5(3e+4)-8e=-5e-4 | | -3.8q=-16.8-1.4q | | 5x+3x=18+2 | | 15x-105=0 | | y=-y+2 | | 3(9-2d)=5(3-2d) |

Equations solver categories