x^2-x-15=4x-1

Simple and best practice solution for x^2-x-15=4x-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-x-15=4x-1 equation: 


Simplifying
x2 + -1x + -15 = 4x + -1

Reorder the terms:
-15 + -1x + x2 = 4x + -1

Reorder the terms:
-15 + -1x + x2 = -1 + 4x

Solving
-15 + -1x + x2 = -1 + 4x

Solving for variable 'x'.

Reorder the terms:
-15 + 1 + -1x + -4x + x2 = -1 + 4x + 1 + -4x

Combine like terms: -15 + 1 = -14
-14 + -1x + -4x + x2 = -1 + 4x + 1 + -4x

Combine like terms: -1x + -4x = -5x
-14 + -5x + x2 = -1 + 4x + 1 + -4x

Reorder the terms:
-14 + -5x + x2 = -1 + 1 + 4x + -4x

Combine like terms: -1 + 1 = 0
-14 + -5x + x2 = 0 + 4x + -4x
-14 + -5x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-2, 7}

See similar equations:

| 0.2x+7=9 | | 2lne^4x-6=8 | | 3x^2/6x^2 | | 70-10x/x^2-7x | | 70-10x/x2-7x | | 34-79=2 | | 2xy-x=0 | | z-(x-y).65=135 | | 24=8y+3y-1 | | y=2*cos(2*x) | | x^2+3xsqrt(x^2+3x)=6 | | x^2+3xsqrt(x^2+3x)=61 | | 2x+7x-11=0 | | y=5x^2+9x | | 11+15z=8z-13+5z | | 6a-3b-2a+3b=2a+6b | | 4(t-2)+4t=4(2t+3)-11 | | 6a-3b-2a+3b= | | 42+x+y=42 | | 9X+7Y=27 | | 4x+7/7=5-x/2 | | 2a/3-11/6 | | 6x-24+4=6x-16+4x | | 6x-10y=-40 | | 3/8x-4=5/12-3/20 | | 7-2p=-7q | | 40r-40=20r+40 | | (x+2)+2=9 | | 2e+8= | | 2a=3a-9 | | 3a=6a-7 | | -x-9=-5x+19 |

Equations solver categories