x^2-x-37=3x-5

Simple and best practice solution for x^2-x-37=3x-5 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-x-37=3x-5 equation: 


Simplifying
x2 + -1x + -37 = 3x + -5

Reorder the terms:
-37 + -1x + x2 = 3x + -5

Reorder the terms:
-37 + -1x + x2 = -5 + 3x

Solving
-37 + -1x + x2 = -5 + 3x

Solving for variable 'x'.

Reorder the terms:
-37 + 5 + -1x + -3x + x2 = -5 + 3x + 5 + -3x

Combine like terms: -37 + 5 = -32
-32 + -1x + -3x + x2 = -5 + 3x + 5 + -3x

Combine like terms: -1x + -3x = -4x
-32 + -4x + x2 = -5 + 3x + 5 + -3x

Reorder the terms:
-32 + -4x + x2 = -5 + 5 + 3x + -3x

Combine like terms: -5 + 5 = 0
-32 + -4x + x2 = 0 + 3x + -3x
-32 + -4x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + -4x + x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-4, 8}

See similar equations:

| 5x+7=6x+7 | | 4x^2-15x+45=9x+10 | | 16x-1=12x+3 | | 6x^2+23x-35=0 | | 4x+7=5x+6 | | 10-9x=78-37x | | 2x+11=14-x | | 4+9x-3x^2=2-x | | 12x-17=8x+13 | | 12(8c-1)-12=94c+12 | | -7=4v-19 | | 0.2(x+2)=3x-4(3-x)-8 | | 9+4(2n-8)=1 | | 2.5(x+2)=3x-4(3-x)-8 | | 2y-12y=6 | | -6(6x-4)+1=-36x+25 | | 9+3(z-3)=-4z+4 | | 4(4x-2)=2(8x+1) | | -8x+3x+9=4 | | 5z=1.6+5.4 | | 12x-9+2x-5=11x-3+2x | | 0.60x+0.05(18-x)=0.10(97) | | 2x+2+y=2 | | x-7=-13 | | 4(2c-1)-4=3c+2 | | 4v-9=-5v | | 4x^2-36x+32=0 | | 8x-5=4x-9 | | 6-(2n-1)=6-3n | | 0.9x-1.4=3.8x+1.2 | | .80x+.05(8-x)=.10(-11) | | -70=-10x |

Equations solver categories