3x^2-2x+15=2x^2+6x

Simple and best practice solution for 3x^2-2x+15=2x^2+6x 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^2-2x+15=2x^2+6x equation: 


Simplifying
3x2 + -2x + 15 = 2x2 + 6x

Reorder the terms:
15 + -2x + 3x2 = 2x2 + 6x

Reorder the terms:
15 + -2x + 3x2 = 6x + 2x2

Solving
15 + -2x + 3x2 = 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
15 + -2x + -6x + 3x2 + -2x2 = 6x + 2x2 + -6x + -2x2

Combine like terms: -2x + -6x = -8x
15 + -8x + 3x2 + -2x2 = 6x + 2x2 + -6x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
15 + -8x + 1x2 = 6x + 2x2 + -6x + -2x2

Reorder the terms:
15 + -8x + 1x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
15 + -8x + 1x2 = 0 + 2x2 + -2x2
15 + -8x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + -8x + 1x2 = 0

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


Subproblem 1
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

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 = {3, 5}

See similar equations:

| 8/9g=10 | | f(x)=-x^2-3x+3 | | 3+6a=-63 | | m/3-711 | | 9(x+2)=8+9x | | 2/3-2/1= | | a/2-4=18 | | (b-5)15= | | 468=2x^2 | | 60+27t+3t^2= | | m/13-711 | | 3d^2-20=11d | | -10-(-12)+(-7)-4= | | -12(x+8)=(x+8) | | -4.9-5z-6.7-2z=-6z+5.6 | | 10(3t+2)=7(4t+6) | | (lnx)/x | | 4x+5=-6x-85 | | 4=-3v-(-7)/8 | | -8x+14=-2x+2 | | (lnx)/x=0 | | 2/3(1/1)-2= | | 9+13g=11-g | | -5x+10=-3x+24 | | 3x(2x^2-6x-5)=0 | | x=y^2-6y+9 | | 5x-10=5(x+8) | | (200/x)=(7/210) | | 8-(3y-5)=9-4y | | -2/3 | | (200/x)=(7/210 | | 2/3(0)= |

Equations solver categories