(x+3)(3x-1)=10x-2x^2

Simple and best practice solution for (x+3)(3x-1)=10x-2x^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 (x+3)(3x-1)=10x-2x^2 equation: 


Simplifying
(x + 3)(3x + -1) = 10x + -2x2

Reorder the terms:
(3 + x)(3x + -1) = 10x + -2x2

Reorder the terms:
(3 + x)(-1 + 3x) = 10x + -2x2

Multiply (3 + x) * (-1 + 3x)
(3(-1 + 3x) + x(-1 + 3x)) = 10x + -2x2
((-1 * 3 + 3x * 3) + x(-1 + 3x)) = 10x + -2x2
((-3 + 9x) + x(-1 + 3x)) = 10x + -2x2
(-3 + 9x + (-1 * x + 3x * x)) = 10x + -2x2
(-3 + 9x + (-1x + 3x2)) = 10x + -2x2

Combine like terms: 9x + -1x = 8x
(-3 + 8x + 3x2) = 10x + -2x2

Solving
-3 + 8x + 3x2 = 10x + -2x2

Solving for variable 'x'.

Reorder the terms:
-3 + 8x + -10x + 3x2 + 2x2 = 10x + -2x2 + -10x + 2x2

Combine like terms: 8x + -10x = -2x
-3 + -2x + 3x2 + 2x2 = 10x + -2x2 + -10x + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
-3 + -2x + 5x2 = 10x + -2x2 + -10x + 2x2

Reorder the terms:
-3 + -2x + 5x2 = 10x + -10x + -2x2 + 2x2

Combine like terms: 10x + -10x = 0
-3 + -2x + 5x2 = 0 + -2x2 + 2x2
-3 + -2x + 5x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-3 + -2x + 5x2 = 0

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


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-0.6, 1}

See similar equations:

| 3n-9-n= | | 1-7a-7-8a= | | r-6-2= | | 1-5v-8v= | | -[6z-(13z+3)]=3+(6z+8) | | 10x-12=4x+6 | | 7x^2+25x+2=0 | | 3+2x+6=-12 | | r^4-144= | | -0.3x+9=0.25x+3.5 | | n^2-13n+72=0 | | 2[w-(2w+11)+7]=2(w+4) | | 936=12q | | 4u+10=7(u+4) | | g+80=623 | | -28=-5x+2(x-8) | | (-3v^3/w^2) | | 18=-2x+3(-2x-18) | | 4(w+3)+6w=32 | | 180s^2-245= | | b/-26=-19 | | (-3v^3/w^2)^2 | | -20=2(u-2)-4u | | 5x^2+16x=20-5x | | 13+5n=-7 | | 7x^2+17x-7=5-8x | | 3+y=2.5 | | Y=-3/4x-9 | | 25v^2-121= | | p=1.8+.27x | | -3w+11=-8+51 | | 15y-2y+29=5y-27 |

Equations solver categories