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

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Solution for (x-5)(x-5)+3(x-5)= equation: 


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

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

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

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

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) + 3(x + -5) = 0

Reorder the terms:
25 + -10x + x2 + 3(-5 + x) = 0
25 + -10x + x2 + (-5 * 3 + x * 3) = 0
25 + -10x + x2 + (-15 + 3x) = 0

Reorder the terms:
25 + -15 + -10x + 3x + x2 = 0

Combine like terms: 25 + -15 = 10
10 + -10x + 3x + x2 = 0

Combine like terms: -10x + 3x = -7x
10 + -7x + x2 = 0

Solving
10 + -7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {2, 5}

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