x^2+(5x-26)(5x-26)=0

Simple and best practice solution for x^2+(5x-26)(5x-26)=0 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+(5x-26)(5x-26)=0 equation: 


Simplifying
x2 + (5x + -26)(5x + -26) = 0

Reorder the terms:
x2 + (-26 + 5x)(5x + -26) = 0

Reorder the terms:
x2 + (-26 + 5x)(-26 + 5x) = 0

Multiply (-26 + 5x) * (-26 + 5x)
x2 + (-26(-26 + 5x) + 5x * (-26 + 5x)) = 0
x2 + ((-26 * -26 + 5x * -26) + 5x * (-26 + 5x)) = 0
x2 + ((676 + -130x) + 5x * (-26 + 5x)) = 0
x2 + (676 + -130x + (-26 * 5x + 5x * 5x)) = 0
x2 + (676 + -130x + (-130x + 25x2)) = 0

Combine like terms: -130x + -130x = -260x
x2 + (676 + -260x + 25x2) = 0

Reorder the terms:
676 + -260x + x2 + 25x2 = 0

Combine like terms: x2 + 25x2 = 26x2
676 + -260x + 26x2 = 0

Solving
676 + -260x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '26'.
26(26 + -10x + x2) = 0

Ignore the factor 26.

Subproblem 1
Set the factor '(26 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
26 + -10x + x2 = 0

Solving
26 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -10x + -26 + x2 = 0 + -26

Reorder the terms:
26 + -26 + -10x + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -10x + x2 = 0 + -26
-10x + x2 = 0 + -26

Combine like terms: 0 + -26 = -26
-10x + x2 = -26

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -26 + 25

Reorder the terms:
25 + -10x + x2 = -26 + 25

Combine like terms: -26 + 25 = -1
25 + -10x + x2 = -1

Factor a perfect square on the left side:
(x + -5)(x + -5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 250/25-x=2 | | x*3+20=74 | | x*3/4-5=7 | | x+2x+a=180 | | 25*5+x-76=154 | | 400-x+143=500 | | 81-72c+16c^2= | | 5c+3cd-5cd= | | 72/x=12 | | 120*x/3=160 | | 70*x-115=515 | | 384/x=16 | | 585-x=132 | | 216/x*6=126 | | 28+4[3+5(3g-5)]-5(g+18)= | | 520/x+265=285 | | (x-6)+x+120=360 | | x*15=450 | | r^2-10w+2wr-5tr=0 | | x-47=151 | | 102-2x=16x+24 | | 50*5/x=125 | | 5n-12=8 | | (x-6)+x=360 | | 145+x=409 | | 4a+9b+36b+25b= | | -51-10x=7x+7 | | a^3b-ab^4=0 | | 166-x=96 | | -x+2(5x-1)=2(3x+4)+x | | 18-E+10=2 | | 1--2= |

Equations solver categories