6x^2+19x+4=2x-1

Simple and best practice solution for 6x^2+19x+4=2x-1 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 6x^2+19x+4=2x-1 equation: 


Simplifying
6x2 + 19x + 4 = 2x + -1

Reorder the terms:
4 + 19x + 6x2 = 2x + -1

Reorder the terms:
4 + 19x + 6x2 = -1 + 2x

Solving
4 + 19x + 6x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
4 + 1 + 19x + -2x + 6x2 = -1 + 2x + 1 + -2x

Combine like terms: 4 + 1 = 5
5 + 19x + -2x + 6x2 = -1 + 2x + 1 + -2x

Combine like terms: 19x + -2x = 17x
5 + 17x + 6x2 = -1 + 2x + 1 + -2x

Reorder the terms:
5 + 17x + 6x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
5 + 17x + 6x2 = 0 + 2x + -2x
5 + 17x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 17x + 6x2 = 0

Factor a trinomial.
(5 + 2x)(1 + 3x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
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
Solution
x = {-2.5, -0.3333333333}

See similar equations:

| 3x+y=50x+4 | | z/7-8=5 | | 25=0.5n | | ax^2+4x+-2=0 | | 6(x-2)-4x=26 | | 3x^2-4x=2+y | | 9x-5=-4 | | y=6x^5 | | 12x=10+4x | | 0=r^2-4r+21 | | 3(x^2)+2(y^2)-14=0 | | -10=15-x | | 6y+6=2(y-3) | | 12x=10-4x | | 8x+18=7x-8 | | 2y+5x-12=0 | | 9Xn=3348 | | -4/5y=1/3 | | x+9.8=10.5 | | 2x-1.8=10 | | 6x-5=12fory | | 23+x=42-2x | | -12=d+12 | | y=2(x+4)-8 | | p/-2=-11 | | 8(v+3)-8=-6 | | 2x^2+3=x^2-2x+7 | | 7[3-(-3x-8)]=42x+133 | | (1+i)(2+3i)(4-3i)= | | 6x+3=5x-32 | | x^2+3x=8+x | | d=8(5) |

Equations solver categories