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Simplifying
9x2 = 4x2 + 100
Reorder the terms:
9x2 = 100 + 4x2
Solving
9x2 = 100 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
9x2 + -4x2 = 100 + 4x2 + -4x2
Combine like terms: 9x2 + -4x2 = 5x2
5x2 = 100 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
5x2 = 100 + 0
5x2 = 100
Divide each side by '5'.
x2 = 20
Simplifying
x2 = 20
Take the square root of each side:
x = {-4.472135955, 4.472135955}
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