24*24=(7x*7x)+(1x*1x)

Solution for 24*24=(7x*7x)+(1x*1x) equation:

Simplifying
24 * 24 = (7x * 7x) + (1x * 1x)

Multiply 24 * 24
576 = (7x * 7x) + (1x * 1x)

Reorder the terms for easier multiplication:
576 = (7 * 7x * x) + (1x * 1x)

Multiply 7 * 7
576 = (49x * x) + (1x * 1x)

Multiply x * x
576 = (49x2) + (1x * 1x)

Reorder the terms for easier multiplication:
576 = (49x2) + (1 * 1x * x)

Multiply 1 * 1
576 = (49x2) + (1x * x)

Multiply x * x
576 = (49x2) + (1x2)

Combine like terms: (49x2) + (1x2) = 50x2
576 = 50x2

Solving
576 = 50x2

Solving for variable 'x'.

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

Add '-50x2' to each side of the equation.
576 + -50x2 = 50x2 + -50x2

Combine like terms: 50x2 + -50x2 = 0
576 + -50x2 = 0

Add '-576' to each side of the equation.
576 + -576 + -50x2 = 0 + -576

Combine like terms: 576 + -576 = 0
0 + -50x2 = 0 + -576
-50x2 = 0 + -576

Combine like terms: 0 + -576 = -576
-50x2 = -576

Divide each side by '-50'.
x2 = 11.52

Simplifying
x2 = 11.52

Take the square root of each side:
x = {-3.39411255, 3.39411255}