1.07x(1.1)x=48

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Solution for 1.07x(1.1)x=48 equation: 


Simplifying
1.07x(1.1) * x = 48

Reorder the terms for easier multiplication:
1.07 * 1.1x * x = 48

Multiply 1.07 * 1.1
1.177x * x = 48

Multiply x * x
1.177x2 = 48

Solving
1.177x2 = 48

Solving for variable 'x'.

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

Divide each side by '1.177'.
x2 = 40.78164826

Simplifying
x2 = 40.78164826

Take the square root of each side:
x = {-6.386051069, 6.386051069}

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