x^2-5x-15=-4x-3

Simple and best practice solution for x^2-5x-15=-4x-3 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^2-5x-15=-4x-3 equation: 


Simplifying
x2 + -5x + -15 = -4x + -3

Reorder the terms:
-15 + -5x + x2 = -4x + -3

Reorder the terms:
-15 + -5x + x2 = -3 + -4x

Solving
-15 + -5x + x2 = -3 + -4x

Solving for variable 'x'.

Reorder the terms:
-15 + 3 + -5x + 4x + x2 = -3 + -4x + 3 + 4x

Combine like terms: -15 + 3 = -12
-12 + -5x + 4x + x2 = -3 + -4x + 3 + 4x

Combine like terms: -5x + 4x = -1x
-12 + -1x + x2 = -3 + -4x + 3 + 4x

Reorder the terms:
-12 + -1x + x2 = -3 + 3 + -4x + 4x

Combine like terms: -3 + 3 = 0
-12 + -1x + x2 = 0 + -4x + 4x
-12 + -1x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + -1x + x2 = 0

Factor a trinomial.
(-3 + -1x)(4 + -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 '(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 = {-3, 4}

See similar equations:

| -12.4d=16.83-10.7d | | (8x+3)(8x+3)(8x+3)=0 | | 16x=108-8x | | 8f+3=3f-2 | | -7.56+11.6m=13.7m | | 7d-1=2d+3 | | 8x+2(x-7)=7x+3x-14 | | x-(15/x)=2 | | 5a+15=3a+8 | | 6a/3 | | -16.3+15.4g=9.5g+3.4g-11.55 | | 10x/10y | | 3t+5=8-4t | | Y=7cosx | | 5n+20=10 | | 140+7x+7+5y+5y=360 | | 4m+4=m | | 7.35*7.35= | | -17.72+13.2v=14.52+16.3v | | -5pq-10pr+10p-3=-7q-8 | | 5h+10=3h+7 | | 3e^4x+9=15 | | 5h-10=3h+7 | | 4/b=10/3 | | -16b-15=-15b | | 9x^2+31x+22=0 | | 5a+7=7a+3 | | y=16x^2+20x+5 | | 4y+21=2y-3 | | (y-9)-(9y-6)= | | 180=120-4x | | -2h-8h+20=-20-8h |

Equations solver categories