x^2+12x-45=5x-1

Simple and best practice solution for x^2+12x-45=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+12x-45=5x-1 equation: 


Simplifying
x2 + 12x + -45 = 5x + -1

Reorder the terms:
-45 + 12x + x2 = 5x + -1

Reorder the terms:
-45 + 12x + x2 = -1 + 5x

Solving
-45 + 12x + x2 = -1 + 5x

Solving for variable 'x'.

Reorder the terms:
-45 + 1 + 12x + -5x + x2 = -1 + 5x + 1 + -5x

Combine like terms: -45 + 1 = -44
-44 + 12x + -5x + x2 = -1 + 5x + 1 + -5x

Combine like terms: 12x + -5x = 7x
-44 + 7x + x2 = -1 + 5x + 1 + -5x

Reorder the terms:
-44 + 7x + x2 = -1 + 1 + 5x + -5x

Combine like terms: -1 + 1 = 0
-44 + 7x + x2 = 0 + 5x + -5x
-44 + 7x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-44 + 7x + x2 = 0

Factor a trinomial.
(-11 + -1x)(4 + -1x) = 0


Subproblem 1
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

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 = {-11, 4}

See similar equations:

| 4.5*x=55.8 | | 12c+6-6c=40 | | -6.28q=18.84 | | 8x-7y=-35 | | 15n+n=7-12n | | 5.9t=-23.6 | | 36m^2-25n^2=0 | | 6(x+18)-18=3x+15 | | 7x+4=2x+59 | | 38-3x=8-9x | | 3(-h+5)=-6 | | 2a+2b=120 | | 15x+21=6x+246 | | m+0.4=0.6 | | 7d-20=12 | | 2(x-2y)+(3x+4y)= | | (2x+-1)+3=7+x | | 40a-24=a+40 | | -v^2-7v+12=0 | | 3x+5=-51-5x | | -13s-14=-52 | | n+2=-18 | | -5n+16+3n=30 | | 40y=13y^2-y^3 | | -8v-27=4(-2v+3) | | -47+3a=82 | | 5+8(-n-5)=-3(-7+6)+4 | | f(x)=-2x^3+4x^2-2x+8 | | 2.75+m=4.5 | | X^3+2x^2+5x= | | 11x=8(x+15) | | x-20=12-3x |

Equations solver categories