5(x-5)=(x-3)(x-3)

Simple and best practice solution for 5(x-5)=(x-3)(x-3) 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 5(x-5)=(x-3)(x-3) equation: 


Simplifying
5(x + -5) = (x + -3)(x + -3)

Reorder the terms:
5(-5 + x) = (x + -3)(x + -3)
(-5 * 5 + x * 5) = (x + -3)(x + -3)
(-25 + 5x) = (x + -3)(x + -3)

Reorder the terms:
-25 + 5x = (-3 + x)(x + -3)

Reorder the terms:
-25 + 5x = (-3 + x)(-3 + x)

Multiply (-3 + x) * (-3 + x)
-25 + 5x = (-3(-3 + x) + x(-3 + x))
-25 + 5x = ((-3 * -3 + x * -3) + x(-3 + x))
-25 + 5x = ((9 + -3x) + x(-3 + x))
-25 + 5x = (9 + -3x + (-3 * x + x * x))
-25 + 5x = (9 + -3x + (-3x + x2))

Combine like terms: -3x + -3x = -6x
-25 + 5x = (9 + -6x + x2)

Solving
-25 + 5x = 9 + -6x + x2

Solving for variable 'x'.

Reorder the terms:
-25 + -9 + 5x + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Combine like terms: -25 + -9 = -34
-34 + 5x + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Combine like terms: 5x + 6x = 11x
-34 + 11x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Reorder the terms:
-34 + 11x + -1x2 = 9 + -9 + -6x + 6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-34 + 11x + -1x2 = 0 + -6x + 6x + x2 + -1x2
-34 + 11x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-34 + 11x + -1x2 = 0 + x2 + -1x2
-34 + 11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-34 + 11x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
34 + -11x + x2 = 0

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -11x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + -11x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -11x + x2 = 0 + -34
-11x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
-11x + x2 = -34

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -34 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -34 + 30.25

Combine like terms: -34 + 30.25 = -3.75
30.25 + -11x + x2 = -3.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 7x-3=4(x+1)+3x | | 5(x-5)=(x-3)(c-3) | | 40x+7(x*1.5)=800 | | 3x-5-2.5=8+0.5x | | ln(2)+ln(x+6)=ln(x) | | 4(x+2)=3x+x+8 | | 3(3x+1)=x+19 | | 3x=0.54 | | 9(2x+2)=(2x+6)(2x+6) | | 5msquared=125 | | P=2(b+s) | | K^2+27k=0 | | 20x+2=42 | | 4y-8+3y=20 | | P=2(b+s)forb | | 8=4x+8(x-8) | | -5(3z+5)=20 | | 6x+2x-4=10x+6 | | SolveP=2(b+s) | | -9x+13=4(11-1) | | 5x+9=3x+16 | | N=No2^t/d | | -20x+2=-38 | | 22+4z-14=0 | | 9(9+x)=(12)(12) | | z^5=-2-5i | | -2w+7(w+7)=34 | | 3y-8=-22 | | 9*8=z | | r^3=3306 | | 8=4v+5(v-2) | | x-7/5=10 |

Equations solver categories