x^2+12x-20=2x+4

Simple and best practice solution for x^2+12x-20=2x+4 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^2+12x-20=2x+4 equation: 


Simplifying
x2 + 12x + -20 = 2x + 4

Reorder the terms:
-20 + 12x + x2 = 2x + 4

Reorder the terms:
-20 + 12x + x2 = 4 + 2x

Solving
-20 + 12x + x2 = 4 + 2x

Solving for variable 'x'.

Reorder the terms:
-20 + -4 + 12x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: -20 + -4 = -24
-24 + 12x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: 12x + -2x = 10x
-24 + 10x + x2 = 4 + 2x + -4 + -2x

Reorder the terms:
-24 + 10x + x2 = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
-24 + 10x + x2 = 0 + 2x + -2x
-24 + 10x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 10x + x2 = 0

Factor a trinomial.
(-12 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
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
Solution
x = {-12, 2}

See similar equations:

| 9x+5x-6x=41+7 | | 10+3b=12b+7 | | z-0=15 | | 4=T+3.78s | | 38-3k=-4(4k+8)-8 | | -1d/8+2=-4(d-1/2) | | f(-3)+5=8 | | 3n-13=15 | | (p+6)=8p | | 2x^2-1.5x-1=0 | | 2(m)+5=17 | | -6(8+3w)=(5-11w) | | 3+x-4/6-2=8 | | 6(x+1)+3=8x-2x+9 | | 175m-75m+48750=51250-150m | | 10t-3=2t-6 | | 2x-300=x+200 | | y-3/8+12=15 | | 2x+6x-3x=21 | | 8-4y=3-5y | | 3q-4=31 | | 2-(7x+5)=13-3 | | 8d-0.34(6-9d)=42 | | 15x-44-x^2=0 | | 19=12-y | | 66415/37= | | 7x-9=2x-5 | | 7x-165=-9x+75 | | g/8-=-12 | | -170-9x=61-x | | .5y-6=-3 | | 2+r=10 |

Equations solver categories