(x+24)(x+24)=100x

Solution for (x+24)(x+24)=100x equation:

Simplifying
(x + 24)(x + 24) = 100x

Reorder the terms:
(24 + x)(x + 24) = 100x

Reorder the terms:
(24 + x)(24 + x) = 100x

Multiply (24 + x) * (24 + x)
(24(24 + x) + x(24 + x)) = 100x
((24 * 24 + x * 24) + x(24 + x)) = 100x
((576 + 24x) + x(24 + x)) = 100x
(576 + 24x + (24 * x + x * x)) = 100x
(576 + 24x + (24x + x2)) = 100x

Combine like terms: 24x + 24x = 48x
(576 + 48x + x2) = 100x

Solving
576 + 48x + x2 = 100x

Solving for variable 'x'.

Reorder the terms:
576 + 48x + -100x + x2 = 100x + -100x

Combine like terms: 48x + -100x = -52x
576 + -52x + x2 = 100x + -100x

Combine like terms: 100x + -100x = 0
576 + -52x + x2 = 0

Factor a trinomial.
(16 + -1x)(36 + -1x) = 0

Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {16, 36}