x^2+8x-4=4x+1

Simple and best practice solution for x^2+8x-4=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+8x-4=4x+1 equation: 


Simplifying
x2 + 8x + -4 = 4x + 1

Reorder the terms:
-4 + 8x + x2 = 4x + 1

Reorder the terms:
-4 + 8x + x2 = 1 + 4x

Solving
-4 + 8x + x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
-4 + -1 + 8x + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: -4 + -1 = -5
-5 + 8x + -4x + x2 = 1 + 4x + -1 + -4x

Combine like terms: 8x + -4x = 4x
-5 + 4x + x2 = 1 + 4x + -1 + -4x

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

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

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

Factor a trinomial.
(-5 + -1x)(1 + -1x) = 0


Subproblem 1
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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-5, 1}

See similar equations:

| 3x-2x+4=15-19 | | 7-0.8(b-1)=0.9(11b-1) | | 12a^3+2a^2=0 | | 9x-12x=-15 | | 7760=70x+3000 | | -4(3m+4)=2(6m+8) | | 13/f=32/64 | | 16-0.4(r-14)=0.6(12r-14) | | 7=-5u+3(3+u) | | 11g+-7g=-20 | | h/3=20/6 | | 2x+3+9-x=180 | | 1/0.01 | | 9(x+3)=54 | | (3*x)-7=14 | | 3-0.3(b-6)=0.8(12b-6) | | 28x^2-2x-108=0 | | ms+mq=t | | 42-3=33 | | 14a^2b/7a^2b | | z/4+1=8-z/4 | | 0.24(12)+0.04x=0.12(6+x) | | 0=(1/2)(x)+2 | | 5y-9x=13 | | 0,5/2=x | | 7(-10+4x)=-70 | | 0=-2(1)+x | | (1/2)(-6)+2=y | | a+13a-5=65 | | (-15)4=U | | 1=-1(-5)+x | | 1.03x-4=-2.15p+8.72 |

Equations solver categories