x^2-3x-32=5x+1

Simple and best practice solution for x^2-3x-32=5x+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 x^2-3x-32=5x+1 equation: 


Simplifying
x2 + -3x + -32 = 5x + 1

Reorder the terms:
-32 + -3x + x2 = 5x + 1

Reorder the terms:
-32 + -3x + x2 = 1 + 5x

Solving
-32 + -3x + x2 = 1 + 5x

Solving for variable 'x'.

Reorder the terms:
-32 + -1 + -3x + -5x + x2 = 1 + 5x + -1 + -5x

Combine like terms: -32 + -1 = -33
-33 + -3x + -5x + x2 = 1 + 5x + -1 + -5x

Combine like terms: -3x + -5x = -8x
-33 + -8x + x2 = 1 + 5x + -1 + -5x

Reorder the terms:
-33 + -8x + x2 = 1 + -1 + 5x + -5x

Combine like terms: 1 + -1 = 0
-33 + -8x + x2 = 0 + 5x + -5x
-33 + -8x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-33 + -8x + x2 = 0

Factor a trinomial.
(-3 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-3, 11}

See similar equations:

| x^2-4x-9=3 | | x^2-5x-31=5 | | x^2-2y^2+3x+4y=2 | | X^3+9x^2+14x-72=0 | | 2v=31-3w | | 5-6(x-1)=20-3r | | 2x+11=24 | | 8.5x+44.77=-11.5x+43.99 | | 19=2x+9 | | 7(a-3)-3(a-2)=5 | | x^4+8x^3+14x^2+13x+6=0 | | -9(t-8)-(t+4)=1 | | 8-x=0.5x-1 | | x^5+8x^4+14x^3+13x^2+6x=0 | | 400=4 | | 10x=4-2x | | 2a-4=a+1 | | z=3x+4y+9 | | X^3-3x^2+x+3=0 | | (x+4)(x+2)=63 | | x+y=2+4 | | 2+3x=-3 | | x=210-2y | | 2+7x=4x-3 | | 2x+2a=c | | x(x^2-4x-1)+4=0 | | 7h=42 | | 8-1=0.5x+x | | 240=(x+30)+2y | | 10h=9+109 | | 8x+21=2x+189 | | 10H=9-110 |

Equations solver categories