900=((3x)*(3x))+((4x)*(4x))

Solution for 900=((3x)*(3x))+((4x)*(4x)) equation:

Simplifying
900 = ((3x)(3x)) + ((4x)(4x))

Remove parenthesis around (3x)
900 = (3x(3x)) + ((4x)(4x))

Remove parenthesis around (3x)
900 = (3x * 3x) + ((4x)(4x))

Reorder the terms for easier multiplication:
900 = (3 * 3x * x) + ((4x)(4x))

Multiply 3 * 3
900 = (9x * x) + ((4x)(4x))

Multiply x * x
900 = (9x2) + ((4x)(4x))

Remove parenthesis around (4x)
900 = (9x2) + (4x(4x))

Remove parenthesis around (4x)
900 = (9x2) + (4x * 4x)

Reorder the terms for easier multiplication:
900 = (9x2) + (4 * 4x * x)

Multiply 4 * 4
900 = (9x2) + (16x * x)

Multiply x * x
900 = (9x2) + (16x2)

Combine like terms: (9x2) + (16x2) = 25x2
900 = 25x2

Solving
900 = 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
900 + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
900 + -25x2 = 0

Add '-900' to each side of the equation.
900 + -900 + -25x2 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + -25x2 = 0 + -900
-25x2 = 0 + -900

Combine like terms: 0 + -900 = -900
-25x2 = -900

Divide each side by '-25'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}