x^2+7x-32=2x+4

Simple and best practice solution for x^2+7x-32=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+7x-32=2x+4 equation: 


Simplifying
x2 + 7x + -32 = 2x + 4

Reorder the terms:
-32 + 7x + x2 = 2x + 4

Reorder the terms:
-32 + 7x + x2 = 4 + 2x

Solving
-32 + 7x + x2 = 4 + 2x

Solving for variable 'x'.

Reorder the terms:
-32 + -4 + 7x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: -32 + -4 = -36
-36 + 7x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: 7x + -2x = 5x
-36 + 5x + x2 = 4 + 2x + -4 + -2x

Reorder the terms:
-36 + 5x + x2 = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
-36 + 5x + x2 = 0 + 2x + -2x
-36 + 5x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + 5x + x2 = 0

Factor a trinomial.
(-9 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, 4}

See similar equations:

| 10=5+4x | | 75+67= | | 3(y-9)=10y-6 | | 75x+67=y | | 3-y=5 | | 32+x=1000 | | z-3z+3.4=-0.1(z+4) | | 15x^2-16xy+4y^2=0 | | 3(x-1)-7/2=4x+3 | | 60-x=23 | | 60*1=x | | 13x^2-3x=0 | | 5m-8=57 | | 5y+13=2y-2 | | ln(2x)+ln(x-3)=ln(4) | | x+x+8.31=61.43 | | 4p^2-4p-8=0 | | x^3+2=0 | | 4x+14=2x+15 | | -(x-18)+2(x+3)=6(x-1) | | 70*100+50=x | | 12x+11=75-6x | | r/2-8=-4 | | 2p^2+12p+10=0 | | 21v-3=4v+9 | | 23+45*0+45=y | | 3x^3+x^2-12x+4=0 | | 30x=60 | | x^5-2=4 | | -3x-5+2x-4=10 | | x^2+5x-2=4 | | 3x^2+3x=4x^2+2 |

Equations solver categories