5x(3x)=102

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Solution for 5x(3x)=102 equation: 


Simplifying
5x(3x) = 102

Remove parenthesis around (3x)
5x * 3x = 102

Reorder the terms for easier multiplication:
5 * 3x * x = 102

Multiply 5 * 3
15x * x = 102

Multiply x * x
15x2 = 102

Solving
15x2 = 102

Solving for variable 'x'.

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

Divide each side by '15'.
x2 = 6.8

Simplifying
x2 = 6.8

Take the square root of each side:
x = {-2.607680962, 2.607680962}

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