84=4x^2-8+8-16

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Solution for 84=4x^2-8+8-16 equation:


Simplifying
84 = 4x2 + -8 + 8 + -16

Reorder the terms:
84 = -8 + 8 + -16 + 4x2

Combine like terms: -8 + 8 = 0
84 = 0 + -16 + 4x2
84 = -16 + 4x2

Solving
84 = -16 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
84 + -4x2 = -16 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
84 + -4x2 = -16 + 0
84 + -4x2 = -16

Add '-84' to each side of the equation.
84 + -84 + -4x2 = -16 + -84

Combine like terms: 84 + -84 = 0
0 + -4x2 = -16 + -84
-4x2 = -16 + -84

Combine like terms: -16 + -84 = -100
-4x2 = -100

Divide each side by '-4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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