4x^2+4x+1=5x+4

Simple and best practice solution for 4x^2+4x+1=5x+4 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 4x^2+4x+1=5x+4 equation: 


Simplifying
4x2 + 4x + 1 = 5x + 4

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

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

Solving
1 + 4x + 4x2 = 4 + 5x

Solving for variable 'x'.

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

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

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

Reorder the terms:
-3 + -1x + 4x2 = 4 + -4 + 5x + -5x

Combine like terms: 4 + -4 = 0
-3 + -1x + 4x2 = 0 + 5x + -5x
-3 + -1x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -1x + 4x2 = 0

Factor a trinomial.
(-3 + -4x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

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

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

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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 = {-0.75, 1}

See similar equations:

| 20+3n= | | -8p+3=59 | | Log(x-1)=1 | | 5x-2.3=0 | | 3x^4-4x^3-12x^2+26=0 | | 12*87-25= | | x^2+16x+91=0 | | 2(4z-1)-2(2-2z)=8 | | 4.4x+1=3.4x | | x^2+3x+4x+12=0 | | B=15+Y | | 3x-1=-2x-2 | | 3-3x-36x^2= | | (4x^2-240x+3600)*x=0 | | 4x^2+1x-1=0 | | -2x+13=-27 | | 9x+3=6x+6 | | 12ab-15a-8b+10=0 | | (30-2x)(20-2x)=416 | | 13=4x^3-3x^2 | | y+9=3y-1 | | 90+2x+3x+20=180 | | 3n+2=4n-4 | | 2(x-3)-3x=-21 | | 2(-4+y)=6 | | y=5x^2-20x-19 | | 0.7n+-1.5+7.3n=14.5 | | 2x^4-2x^2-28=0 | | X+4overx=1+x | | F(x)=5cos^2(x)-10sin(x) | | x-8.6=-5.2 | | 4v^2-4v-1=0 |

Equations solver categories