75=16x^2+11

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Solution for 75=16x^2+11 equation:


Simplifying
75 = 16x2 + 11

Reorder the terms:
75 = 11 + 16x2

Solving
75 = 11 + 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.
75 + -16x2 = 11 + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
75 + -16x2 = 11 + 0
75 + -16x2 = 11

Add '-75' to each side of the equation.
75 + -75 + -16x2 = 11 + -75

Combine like terms: 75 + -75 = 0
0 + -16x2 = 11 + -75
-16x2 = 11 + -75

Combine like terms: 11 + -75 = -64
-16x2 = -64

Divide each side by '-16'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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