3x^2+x=30x+10

Simple and best practice solution for 3x^2+x=30x+10 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+x=30x+10 equation: 


Simplifying
3x2 + x = 30x + 10

Reorder the terms:
x + 3x2 = 30x + 10

Reorder the terms:
x + 3x2 = 10 + 30x

Solving
x + 3x2 = 10 + 30x

Solving for variable 'x'.

Reorder the terms:
-10 + x + -30x + 3x2 = 10 + 30x + -10 + -30x

Combine like terms: x + -30x = -29x
-10 + -29x + 3x2 = 10 + 30x + -10 + -30x

Reorder the terms:
-10 + -29x + 3x2 = 10 + -10 + 30x + -30x

Combine like terms: 10 + -10 = 0
-10 + -29x + 3x2 = 0 + 30x + -30x
-10 + -29x + 3x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
-10 + -29x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

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

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

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-0.3333333333, 10}

See similar equations:

| 7+11N-5=8N+9-4N | | 3x^3+18x^2=3x+18 | | 7i/(6-3i) | | 5x^2=16x-3 | | 4/1*8/11 | | 8/3=4w | | f(x)=3cos(3x)-3 | | (2x-3)(4x-7)= | | -4X-16=-88 | | xy+4=0 | | 4r=5-6 | | x^2+71x+72= | | 3z-15=-60+8z | | 0.0.6m-4.4-4.8m=2.4 | | 5u-13=32 | | 6x+8=2x+40 | | 2x+2(x+4.25)=136.5 | | -x+5y=22 | | 2x+5z=3+3y | | 0.05d-0.3d-17=14 | | 5t-18=-4+3t | | 3/4x4/5= | | 7/4*4-3=4 | | 6/5X=42 | | 4=7/4*4-3 | | 6+15=3(x+3) | | 6x+5=4x+37 | | 3u/2=36 | | 5-3a=23-6a | | -4=-2/5*-4-2 | | 2.3t=5t-9.98 | | 2/7y-5/6+5/7y=0.1666 |

Equations solver categories