x^2+2x=3x+20

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


Simplifying
x2 + 2x = 3x + 20

Reorder the terms:
2x + x2 = 3x + 20

Reorder the terms:
2x + x2 = 20 + 3x

Solving
2x + x2 = 20 + 3x

Solving for variable 'x'.

Reorder the terms:
-20 + 2x + -3x + x2 = 20 + 3x + -20 + -3x

Combine like terms: 2x + -3x = -1x
-20 + -1x + x2 = 20 + 3x + -20 + -3x

Reorder the terms:
-20 + -1x + x2 = 20 + -20 + 3x + -3x

Combine like terms: 20 + -20 = 0
-20 + -1x + x2 = 0 + 3x + -3x
-20 + -1x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -1x + x2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-4, 5}

See similar equations:

| log[3](-2-4x)=2 | | 4/5x+4/3=2x-3/4 | | 29+49+x=180 | | 234/n=6 | | X=1170615y/14 | | (X-VI)*II+(IX/III) | | 90x2/3= | | 12n=642 | | xy+2y=5x+1 | | z^2+3z+3+i=0 | | 4-0/0-(-5) | | m=4-0/0-(-5) | | -lnx^2+2lnx+30=0 | | 5+1.5x-0.25=1.67x | | solvefora:p=1/3ab | | (2x+1)=(7x+3) | | g+11-4=z | | 0.13x+0.8(x-3)=0.01(4x-5) | | (-8i)-(2i)= | | 7(2+5d)+8(6-6d)=52 | | 2(45s-34)=65 | | n+2+4n-17=0 | | 5/30+18/30 | | 3(7-8x)-2(39+7x)=49 | | 7+8k=73 | | (7+i)-(4i)= | | 3+15=1218 | | (x/46)+{(30-3x)/54}=0.8 | | (-2+4i)-(5i)= | | (-3+2i)+8= | | 1+(0.2x(1+1/4) | | 2/3(6n-18)=-18+3/4(8x+32) |

Equations solver categories