3x^2+11x=20

Simple and best practice solution for 3x^2+11x=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 3x^2+11x=20 equation:


Simplifying
3x2 + 11x = 20

Reorder the terms:
11x + 3x2 = 20

Solving
11x + 3x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 11x + 3x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 11x + 3x2 = 0

Factor a trinomial.
(-5 + -1x)(4 + -3x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {-5, 1.333333333}

See similar equations:

| 2n^2-40n+200= | | 3x^2*11x=20 | | 27x^2y^2-36xy= | | 2x-11=-x+54 | | h=2(8m-9r) | | 2x+56(67)= | | 10x+42=-96 | | s+5s-155= | | 10x+42=96 | | 10x+42=96 | | .01x=9 | | -13x+15=-167 | | 24x^2+30x^2+9x= | | 2x^2-12x-36=32 | | -4+2=2a-6-a | | 2y+48=x | | -4x+16=34 | | 30bx^2-80bx-30b= | | (2x^2)+4x+2=0 | | 5.7q-5.4-4.9q=-0.2-4.2 | | -3x-20=2x+15 | | 200-5x=580 | | 7x-(4x+8)=5x-26 | | 2x-14=38 | | -4+2=2a-6-4 | | 2x+5x+1=15 | | 5x-200=580 | | 10c+f=-13+cd | | c=0.5kp | | 6x^2-18x-12=12 | | x^2+3x+20=0 | | 5(2a-1)+2a=-29 |

Equations solver categories