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Simplifying
25 * 25 = 4x * 4x + 3x * 3x
Multiply 25 * 25
625 = 4x * 4x + 3x * 3x
Reorder the terms for easier multiplication:
625 = 4 * 4x * x + 3x * 3x
Multiply 4 * 4
625 = 16x * x + 3x * 3x
Multiply x * x
625 = 16x2 + 3x * 3x
Reorder the terms for easier multiplication:
625 = 16x2 + 3 * 3x * x
Multiply 3 * 3
625 = 16x2 + 9x * x
Multiply x * x
625 = 16x2 + 9x2
Combine like terms: 16x2 + 9x2 = 25x2
625 = 25x2
Solving
625 = 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.
625 + -25x2 = 25x2 + -25x2
Combine like terms: 25x2 + -25x2 = 0
625 + -25x2 = 0
Add '-625' to each side of the equation.
625 + -625 + -25x2 = 0 + -625
Combine like terms: 625 + -625 = 0
0 + -25x2 = 0 + -625
-25x2 = 0 + -625
Combine like terms: 0 + -625 = -625
-25x2 = -625
Divide each side by '-25'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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