4x+3(x*x)-x+2=38

Simple and best practice solution for 4x+3(x*x)-x+2=38 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+3(x*x)-x+2=38 equation: 


Simplifying
4x + 3(x * x) + -1x + 2 = 38

Multiply x * x
4x + 3(x2) + -1x + 2 = 38

Reorder the terms:
2 + 4x + -1x + 3x2 = 38

Combine like terms: 4x + -1x = 3x
2 + 3x + 3x2 = 38

Solving
2 + 3x + 3x2 = 38

Solving for variable 'x'.

Reorder the terms:
2 + -38 + 3x + 3x2 = 38 + -38

Combine like terms: 2 + -38 = -36
-36 + 3x + 3x2 = 38 + -38

Combine like terms: 38 + -38 = 0
-36 + 3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + x + x2) = 0

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

Ignore the factor 3.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4, 3}

See similar equations:

| 5sec^2x=6secx | | r^2-3r+29=0 | | .28y=270 | | r^6+5r-14=0 | | 3x+8x-9x=5+7 | | y=4x^2-28-32 | | 9y-4=-16+3y | | 0.6=(1.6x10^-19)^(-x/2.1) | | 9s-24=39+2s | | 3/y-2=8 | | 0.6=(1.6x10^-19)^(-t/2.1) | | 4sin^2x+8sinx+4=0 | | 2/3n-5/9=5/2 | | 5x+y=-18 | | y=10x+-20 | | 0.1w+0.2x+0.5y+0.2z=18 | | 124=-16t^2+34+120 | | (0.1*x)+(0.2*y)+(0.5*z)+(0.2*w)=18 | | (2y)/(3y-1)=x | | 42-2= | | 7x+94=9x+4+3x | | -3x+18=-5x+8 | | x/3=11/12 | | 42/-2 | | 9y^2(y+5)= | | 9-(2*x)=19 | | h=16t^2+34t+20 | | -4(-7)(-9)= | | ln(x+10)-ln(x)=1 | | ((9a^7b^5)/(ab^2))((2b^2)/(3a^3b^7)) | | -4x(-7)x(-9)= | | 3x^3-2x^2-32x=3x^2-5x-45 |

Equations solver categories