8x^2+20x-8=12-7x

Simple and best practice solution for 8x^2+20x-8=12-7x 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 8x^2+20x-8=12-7x equation: 


Simplifying
8x2 + 20x + -8 = 12 + -7x

Reorder the terms:
-8 + 20x + 8x2 = 12 + -7x

Solving
-8 + 20x + 8x2 = 12 + -7x

Solving for variable 'x'.

Reorder the terms:
-8 + -12 + 20x + 7x + 8x2 = 12 + -7x + -12 + 7x

Combine like terms: -8 + -12 = -20
-20 + 20x + 7x + 8x2 = 12 + -7x + -12 + 7x

Combine like terms: 20x + 7x = 27x
-20 + 27x + 8x2 = 12 + -7x + -12 + 7x

Reorder the terms:
-20 + 27x + 8x2 = 12 + -12 + -7x + 7x

Combine like terms: 12 + -12 = 0
-20 + 27x + 8x2 = 0 + -7x + 7x
-20 + 27x + 8x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 27x + 8x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -8x) = 0


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

Simplifying
-4 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 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 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {-4, 0.625}

See similar equations:

| x^2-2x+3=11 | | 15y=18y^2 | | x^2-18x+81=64 | | 5x^2-11x-12=0 | | 5h+4=5(h+1)-1 | | x^2-4x+4=9 | | (20x+250)=y(2x^3+10x^2+25) | | 7x^2-5x-2=0 | | (20x+250)=(2x^3+10x^2+25) | | x^2+14x+48=0 | | 10+x=12+16 | | -5y+2(2y+1)=2(5y-1)-7 | | 36x^2-25=0 | | 1+9x*2= | | 8x-12=25 | | 8x-144+3x+85=180 | | 3.4+a=7.9 | | 3.4x-2.5=2.8x+3.5 | | 8x+168+3x+78=180 | | 25x^2-16=0 | | 9x-8=4x+22 | | 13w^2+1=-8w | | 14+6p=p+12 | | x^2+6x+9=25 | | 2x+72=8x+12 | | -2x-3+6x-4+2=6-2x+4x-3 | | (9x-8)(2x+9)=0 | | 7x+10=5x+50 | | 4m^2=4m+19 | | x^3-12x^2+27x=0 | | x^3-11x^2+30=0 | | 7x+6=4x+42 |

Equations solver categories