5x^2+10x+25=4x^2+4x+1

Simple and best practice solution for 5x^2+10x+25=4x^2+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 5x^2+10x+25=4x^2+4x+1 equation: 


Simplifying
5x2 + 10x + 25 = 4x2 + 4x + 1

Reorder the terms:
25 + 10x + 5x2 = 4x2 + 4x + 1

Reorder the terms:
25 + 10x + 5x2 = 1 + 4x + 4x2

Solving
25 + 10x + 5x2 = 1 + 4x + 4x2

Solving for variable 'x'.

Reorder the terms:
25 + -1 + 10x + -4x + 5x2 + -4x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2

Combine like terms: 25 + -1 = 24
24 + 10x + -4x + 5x2 + -4x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2

Combine like terms: 10x + -4x = 6x
24 + 6x + 5x2 + -4x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
24 + 6x + 1x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2

Reorder the terms:
24 + 6x + 1x2 = 1 + -1 + 4x + -4x + 4x2 + -4x2

Combine like terms: 1 + -1 = 0
24 + 6x + 1x2 = 0 + 4x + -4x + 4x2 + -4x2
24 + 6x + 1x2 = 4x + -4x + 4x2 + -4x2

Combine like terms: 4x + -4x = 0
24 + 6x + 1x2 = 0 + 4x2 + -4x2
24 + 6x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
24 + 6x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + 6x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + 6x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 6x + x2 = 0 + -24
6x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
6x + x2 = -24

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -24 + 9

Reorder the terms:
9 + 6x + x2 = -24 + 9

Combine like terms: -24 + 9 = -15
9 + 6x + x2 = -15

Factor a perfect square on the left side:
(x + 3)(x + 3) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| y+3=1/3 | | (13y-4)-(5y-16)/2 | | 9a+4b-7a= | | 9x-4=2(x+5) | | (2-x)(x^2-11x+3)+92x-48=0 | | 7.7x+9.8+7.6x+7.5=127.46 | | Tan16=x/64 | | 0.3x-22+0.1x-52=90 | | Tan64=x/16 | | 13x^2+18x=0 | | x^2-5m+6=0 | | -3x+21=35 | | Tan64=16/x | | 4a+3b=138.75 | | 9p+9=114-10p+10 | | S(t)=-16t^2+8t+8 | | -49=5x-9 | | Z=4+4i | | 14x^2-49x+42=0 | | -.25*y-1=17.25 | | 75+25x=140+20 | | 26=5x-9 | | 2(3x+2)=5x+6 | | 26=5x-3 | | X/12=25/36 | | 5pt=c | | 2x^2-20x=-3x^2-4x-12 | | 16c=pt | | x^3+x^2-16x-25=0 | | x^4=612 | | 3x^2-26x=-5x^2-3x-14 | | 6y-27=15 |

Equations solver categories