0=(25-x)(x-7)

Solution for 0=(25-x)(x-7) equation:

Simplifying
0 = (25 + -1x)(x + -7)

Reorder the terms:
0 = (25 + -1x)(-7 + x)

Multiply (25 + -1x) * (-7 + x)
0 = (25(-7 + x) + -1x * (-7 + x))
0 = ((-7 * 25 + x * 25) + -1x * (-7 + x))
0 = ((-175 + 25x) + -1x * (-7 + x))
0 = (-175 + 25x + (-7 * -1x + x * -1x))
0 = (-175 + 25x + (7x + -1x2))

Combine like terms: 25x + 7x = 32x
0 = (-175 + 32x + -1x2)

Solving
0 = -175 + 32x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 175 = 175
175 + -32x + x2 = -175 + 32x + -1x2 + 175 + -32x + x2

Reorder the terms:
175 + -32x + x2 = -175 + 175 + 32x + -32x + -1x2 + x2

Combine like terms: -175 + 175 = 0
175 + -32x + x2 = 0 + 32x + -32x + -1x2 + x2
175 + -32x + x2 = 32x + -32x + -1x2 + x2

Combine like terms: 32x + -32x = 0
175 + -32x + x2 = 0 + -1x2 + x2
175 + -32x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
175 + -32x + x2 = 0

Factor a trinomial.
(7 + -1x)(25 + -1x) = 0

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {7, 25}