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Simplifying
16 = x(6x)
Remove parenthesis around (6x)
16 = x * 6x
Reorder the terms for easier multiplication:
16 = 6x * x
Multiply x * x
16 = 6x2
Solving
16 = 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
16 + -6x2 = 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
16 + -6x2 = 0
Add '-16' to each side of the equation.
16 + -16 + -6x2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + -6x2 = 0 + -16
-6x2 = 0 + -16
Combine like terms: 0 + -16 = -16
-6x2 = -16
Divide each side by '-6'.
x2 = 2.666666667
Simplifying
x2 = 2.666666667
Take the square root of each side:
x = {-1.632993162, 1.632993162}
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