3x^2+7x=2x+12

Simple and best practice solution for 3x^2+7x=2x+12 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+7x=2x+12 equation: 


Simplifying
3x2 + 7x = 2x + 12

Reorder the terms:
7x + 3x2 = 2x + 12

Reorder the terms:
7x + 3x2 = 12 + 2x

Solving
7x + 3x2 = 12 + 2x

Solving for variable 'x'.

Reorder the terms:
-12 + 7x + -2x + 3x2 = 12 + 2x + -12 + -2x

Combine like terms: 7x + -2x = 5x
-12 + 5x + 3x2 = 12 + 2x + -12 + -2x

Reorder the terms:
-12 + 5x + 3x2 = 12 + -12 + 2x + -2x

Combine like terms: 12 + -12 = 0
-12 + 5x + 3x2 = 0 + 2x + -2x
-12 + 5x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 5x + 3x2 = 0

Factor a trinomial.
(-3 + -1x)(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-3, 1.333333333}

See similar equations:

| 4.5-x=-2x+6 | | 2(x-9)=2x-18 | | 3x+6=2x^2+4x | | 127+(4t-21)=180 | | -3x-6(2x-12)=-108 | | 2(x-9)=11x+18 | | 2(5-4)=ax+b | | 3x(x-4)+5=3x-2 | | P=3x+2y | | 4x+13=7x-29 | | 5-2(x+3)=12+3x | | x-1.75=18 | | (3x+2y)dx-(3x+2y+2)dy=0 | | 7x-2x+5=3x-16 | | x-1.75= | | -9x+4x-10=9x-4-8x | | -5(x-6)=60 | | 10X^2+18X-9=0 | | 4(x+5)=6+2(1-x) | | -9x-2.9=-8x-2 | | 6(5-4d)+11=d+41-25d | | x(x+3)(x+3)=0 | | 12j=16j-8 | | -4(x-4)=-44 | | 2.5x-8=5x-12 | | 5+0.50p=1p | | 30x-78=12x+4 | | ln(2)-ln(5x-1)=4 | | y=x^3+8x+3 | | 5b+4t+-6=300 | | -5.5(4y+6)-2.1(3y-5)= | | -9x+5=y |

Equations solver categories