4(x^2-4.75-15.75)=0

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Solution for 4(x^2-4.75-15.75)=0 equation:


Simplifying
4(x2 + -4.75 + -15.75) = 0

Reorder the terms:
4(-4.75 + -15.75 + x2) = 0

Combine like terms: -4.75 + -15.75 = -20.5
4(-20.5 + x2) = 0
(-20.5 * 4 + x2 * 4) = 0
(-82 + 4x2) = 0

Solving
-82 + 4x2 = 0

Solving for variable 'x'.

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

Add '82' to each side of the equation.
-82 + 82 + 4x2 = 0 + 82

Combine like terms: -82 + 82 = 0
0 + 4x2 = 0 + 82
4x2 = 0 + 82

Combine like terms: 0 + 82 = 82
4x2 = 82

Divide each side by '4'.
x2 = 20.5

Simplifying
x2 = 20.5

Take the square root of each side:
x = {-4.527692569, 4.527692569}

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