(3x-5)(3x-5)+25=0

Simple and best practice solution for (3x-5)(3x-5)+25=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 (3x-5)(3x-5)+25=0 equation: 


Simplifying
(3x + -5)(3x + -5) + 25 = 0

Reorder the terms:
(-5 + 3x)(3x + -5) + 25 = 0

Reorder the terms:
(-5 + 3x)(-5 + 3x) + 25 = 0

Multiply (-5 + 3x) * (-5 + 3x)
(-5(-5 + 3x) + 3x * (-5 + 3x)) + 25 = 0
((-5 * -5 + 3x * -5) + 3x * (-5 + 3x)) + 25 = 0
((25 + -15x) + 3x * (-5 + 3x)) + 25 = 0
(25 + -15x + (-5 * 3x + 3x * 3x)) + 25 = 0
(25 + -15x + (-15x + 9x2)) + 25 = 0

Combine like terms: -15x + -15x = -30x
(25 + -30x + 9x2) + 25 = 0

Reorder the terms:
25 + 25 + -30x + 9x2 = 0

Combine like terms: 25 + 25 = 50
50 + -30x + 9x2 = 0

Solving
50 + -30x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
5.555555556 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.555555556' to each side of the equation.
5.555555556 + -3.333333333x + -5.555555556 + x2 = 0 + -5.555555556

Reorder the terms:
5.555555556 + -5.555555556 + -3.333333333x + x2 = 0 + -5.555555556

Combine like terms: 5.555555556 + -5.555555556 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -5.555555556
-3.333333333x + x2 = 0 + -5.555555556

Combine like terms: 0 + -5.555555556 = -5.555555556
-3.333333333x + x2 = -5.555555556

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -5.555555556 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -5.555555556 + 2.777777779

Combine like terms: -5.555555556 + 2.777777779 = -2.777777777
2.777777779 + -3.333333333x + x2 = -2.777777777

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -2.777777777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x^2-6x+8=4 | | -q+4q+q=17+q+10 | | 7y-8y+11y+2y-7y= | | -x-81x+144x+7= | | 9x-6x+5-x=2x+5 | | 6z-13-2z-5=0 | | 4x^2+84x=-272 | | 6y-13=-52+19y | | (x-2)(x+7)=-2(x-2) | | -.0128x^2+x+220=0 | | 12=10+f | | (8x-1)+(4x+7)=90 | | 12=12+f | | (8m-6)(5m+3)= | | .0128x^2+x+220=0 | | -4c-46=-2 | | x^2+2xy-3y^2= | | -2x+6x-8x+4x= | | 5n+12=9-16 | | 2n+3(n-3)=4n+1 | | 3z+4+2+4z= | | .34b-5.2=.15b-8.8 | | 22.6-14.8= | | 5x-3x+11=2-8x | | -x-y=16 | | 42-5x=18+7x | | 1-6y+4=3y+11-6y | | 1.2v=3.6 | | 2n-4=5n+7 | | (3x-5)(3x+5)+25=0 | | -2b+4b-6b= | | 6-9x=7x-10x-36 |

Equations solver categories