10=3x+x^2

Simple and best practice solution for 10=3x+x^2 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 10=3x+x^2 equation:


Simplifying
10 = 3x + x2

Solving
10 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
10 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
10 + -3x + -1x2 = 0 + x2 + -1x2
10 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -3x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(5 + x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

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

Solution

x = {2, -5}

See similar equations:

| 0.3x-0.02+0.2=1.18 | | -4p-3(p+1)=-10(p+4)-11 | | 10+(6-3m)=8 | | 7*ln*3x=45 | | 8m+18=9m+13 | | 3/8=1/4x-1/2 | | 5x+3(3x+5)=169 | | 20x=2x+24 | | 7-11x=-9x-3x | | 3/4(8n-4)=-3(1-2n) | | Y=6(28-6x) | | X+(x+30)+(x-30)=136 | | 42x^2+216x-216=0 | | 21-y=20 | | 4m+-16=2m | | e^2x+1=47 | | 5x-7y-z-5w=-8 | | 2x-1y=7 | | a+3a=128 | | 5w+3w=72 | | -11(1+12n)=n-11 | | 2x+-22=20 | | 3x+24=12x+18 | | 4(3-2x)=22 | | 7n-7n=9(6+3n)-6(5n+5) | | (-7y^2)(6y^3)= | | 2x+22=20 | | 6x+6,5=11+7x | | A=50e^10 | | x^2-6-31=0 | | 21=-7x+7 | | 1.5(3x+9)=8x |

Equations solver categories