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Simplifying
5x * x = 3x * x + 24
Multiply x * x
5x2 = 3x * x + 24
Multiply x * x
5x2 = 3x2 + 24
Reorder the terms:
5x2 = 24 + 3x2
Solving
5x2 = 24 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
5x2 + -3x2 = 24 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
2x2 = 24 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
2x2 = 24 + 0
2x2 = 24
Divide each side by '2'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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