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Simplifying
5 * 5 + 2x * 2x = 3x * 3x
Multiply 5 * 5
25 + 2x * 2x = 3x * 3x
Reorder the terms for easier multiplication:
25 + 2 * 2x * x = 3x * 3x
Multiply 2 * 2
25 + 4x * x = 3x * 3x
Multiply x * x
25 + 4x2 = 3x * 3x
Reorder the terms for easier multiplication:
25 + 4x2 = 3 * 3x * x
Multiply 3 * 3
25 + 4x2 = 9x * x
Multiply x * x
25 + 4x2 = 9x2
Solving
25 + 4x2 = 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
25 + 4x2 + -9x2 = 9x2 + -9x2
Combine like terms: 4x2 + -9x2 = -5x2
25 + -5x2 = 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
25 + -5x2 = 0
Add '-25' to each side of the equation.
25 + -25 + -5x2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -5x2 = 0 + -25
-5x2 = 0 + -25
Combine like terms: 0 + -25 = -25
-5x2 = -25
Divide each side by '-5'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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