5x^2+4x=16+20x

Simple and best practice solution for 5x^2+4x=16+20x 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 5x^2+4x=16+20x equation: 


Simplifying
5x2 + 4x = 16 + 20x

Reorder the terms:
4x + 5x2 = 16 + 20x

Solving
4x + 5x2 = 16 + 20x

Solving for variable 'x'.

Reorder the terms:
-16 + 4x + -20x + 5x2 = 16 + 20x + -16 + -20x

Combine like terms: 4x + -20x = -16x
-16 + -16x + 5x2 = 16 + 20x + -16 + -20x

Reorder the terms:
-16 + -16x + 5x2 = 16 + -16 + 20x + -20x

Combine like terms: 16 + -16 = 0
-16 + -16x + 5x2 = 0 + 20x + -20x
-16 + -16x + 5x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-16 + -16x + 5x2 = 0

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


Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.8, 4}

See similar equations:

| 200*19/40*3/25 | | (v-9)/(3v-5) | | ax^2-ax+bx-b=0 | | 7/5=x/31 | | x/3+2=x/5+8 | | x=17x^2-5x+3 | | 5/6x+4=14 | | 1x/3=-3 | | 1/3x=-3 | | x^2+(4/5)x+(3/25)=0 | | x=3-1 | | 4/7x-1=11 | | 304/2 | | 12n+96=96+12n | | 4/7x-1 | | 8x=304 | | 32-22= | | X-7.7=-5.2 | | 5=2M/3+9 | | M-7=8M | | S+27=15 | | -(5y+3)-(7-4-7-4)=1 | | (2x-4)*(2x+1)=0 | | f(6)=2x+x^2+3(4x)+17 | | 5x-6+6y=36 | | (x+1)(x+18)= | | x^2-kx+21=0 | | 12(3x-9)=3(12x+8) | | 5(x+5)-9=18-4x-2+9x | | 8+9n-1=5n+55-2n | | 0.18y-0.48=0.10y-0.3 | | (-5x+3)(2x+7)= |

Equations solver categories