4x^2+3x+6=-4x+8

Simple and best practice solution for 4x^2+3x+6=-4x+8 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 4x^2+3x+6=-4x+8 equation: 


Simplifying
4x2 + 3x + 6 = -4x + 8

Reorder the terms:
6 + 3x + 4x2 = -4x + 8

Reorder the terms:
6 + 3x + 4x2 = 8 + -4x

Solving
6 + 3x + 4x2 = 8 + -4x

Solving for variable 'x'.

Reorder the terms:
6 + -8 + 3x + 4x + 4x2 = 8 + -4x + -8 + 4x

Combine like terms: 6 + -8 = -2
-2 + 3x + 4x + 4x2 = 8 + -4x + -8 + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x + 4x2 = 8 + -4x + -8 + 4x

Reorder the terms:
-2 + 7x + 4x2 = 8 + -8 + -4x + 4x

Combine like terms: 8 + -8 = 0
-2 + 7x + 4x2 = 0 + -4x + 4x
-2 + 7x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x + 4x2 = 0

Factor a trinomial.
(-2 + -1x)(1 + -4x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-2, 0.25}

See similar equations:

| y=-4x-11 | | x/8+35=46 | | 6-3=0 | | 5/4n+5=20 | | 12x+12+0=0 | | (x^2+8x+16)-(x^2-4x+4)=0 | | 2(-2x-3)+x=4+-x+3x | | 0=-16t^2+60t-50 | | 3a+11=a-24 | | 3.4-5.2-3y=2 | | 6x+13x-5=0 | | 4+6=3-3 | | 3a+11=8a-3 | | -(-1x^2-2x+1)+4=0 | | y+(-4)=7 | | 36+15x= | | (1/x-4)+(x/x-2) | | n/5=-5 | | 2/3*-7+1 | | -x^2+4x+47=0 | | 27-5k=-4k | | 45-9x=5-4x | | 3(2c-1)-1=2c+4 | | -1/4x=5x | | (x^2+6x+9)-16=0 | | 4/5^3 | | 2/3*-8+1 | | -3x+2y=20 | | 2(4x+8)-24= | | 3n-1=26 | | g(x)=x^2-6x+8 | | 3(1-x)+2(x-1)(x-1)=0 |

Equations solver categories