x^2+x-5=4x+5

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


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

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

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

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

Solving for variable 'x'.

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

Combine like terms: -5 + -5 = -10
-10 + x + -4x + x2 = 5 + 4x + -5 + -4x

Combine like terms: x + -4x = -3x
-10 + -3x + x2 = 5 + 4x + -5 + -4x

Reorder the terms:
-10 + -3x + x2 = 5 + -5 + 4x + -4x

Combine like terms: 5 + -5 = 0
-10 + -3x + x2 = 0 + 4x + -4x
-10 + -3x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -3x + x2 = 0

Factor a trinomial.
(-2 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-2, 5}

See similar equations:

| -44(x+9)=36(x-11) | | 3x+6+5x=-42 | | 2x+2.8=6.4 | | 200x=9 | | 5y+8=-[27] | | x+74+55+54=180 | | 7x+5=105 | | -12v+4=8v-6 | | (2x-10)+x=425 | | 4x^3-6x+0=0 | | 3+2y=-[7] | | 5+g-3=6 | | -[1]=5+3y | | 6d-26=4 | | 5/6+x=3-4 | | 5x-15=120 | | 6c+39=9 | | -5+y=-y+7 | | 2u+7=-[3] | | 8+-1.6y+-1.5y+1.5x= | | -[5]+5v=-[40] | | 6p-(3p+8)=16 | | 4(4x-3)=22 | | -8=1.5x-2.3x | | 5x+3(x-11)=7 | | -7(7x-8)=-49x+56 | | .5x-6=x+.05 | | F(20)=3(20)-10 | | 6.1-0.25(x+8)=0.7+.3(x-3) | | 4x-48=9x+12 | | c=8n+18 | | -3x-5=29 |

Equations solver categories