.75*x*x+8=20

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Solution for .75*x*x+8=20 equation:


Simplifying
0.75x * x + 8 = 20

Multiply x * x
0.75x2 + 8 = 20

Reorder the terms:
8 + 0.75x2 = 20

Solving
8 + 0.75x2 = 20

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 0.75x2 = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 0.75x2 = 20 + -8
0.75x2 = 20 + -8

Combine like terms: 20 + -8 = 12
0.75x2 = 12

Divide each side by '0.75'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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