625=(x^2)+((x^2)+9)

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Solution for 625=(x^2)+((x^2)+9) equation:


Simplifying
625 = (x2) + ((x2) + 9)
625 = x2 + ((x2) + 9)
625 = x2 + (x2 + 9)

Reorder the terms:
625 = x2 + (9 + x2)

Remove parenthesis around (9 + x2)
625 = x2 + 9 + x2

Reorder the terms:
625 = 9 + x2 + x2

Combine like terms: x2 + x2 = 2x2
625 = 9 + 2x2

Solving
625 = 9 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
625 + -2x2 = 9 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
625 + -2x2 = 9 + 0
625 + -2x2 = 9

Add '-625' to each side of the equation.
625 + -625 + -2x2 = 9 + -625

Combine like terms: 625 + -625 = 0
0 + -2x2 = 9 + -625
-2x2 = 9 + -625

Combine like terms: 9 + -625 = -616
-2x2 = -616

Divide each side by '-2'.
x2 = 308

Simplifying
x2 = 308

Take the square root of each side:
x = {-17.549928775, 17.549928775}

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