3=16x^2-46

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Solution for 3=16x^2-46 equation: 


Simplifying
3 = 16x2 + -46

Reorder the terms:
3 = -46 + 16x2

Solving
3 = -46 + 16x2

Solving for variable 'x'.

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

Add '-16x2' to each side of the equation.
3 + -16x2 = -46 + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
3 + -16x2 = -46 + 0
3 + -16x2 = -46

Add '-3' to each side of the equation.
3 + -3 + -16x2 = -46 + -3

Combine like terms: 3 + -3 = 0
0 + -16x2 = -46 + -3
-16x2 = -46 + -3

Combine like terms: -46 + -3 = -49
-16x2 = -49

Divide each side by '-16'.
x2 = 3.0625

Simplifying
x2 = 3.0625

Take the square root of each side:
x = {-1.75, 1.75}

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