5(x^2-20)=20

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Solution for 5(x^2-20)=20 equation:


Simplifying
5(x2 + -20) = 20

Reorder the terms:
5(-20 + x2) = 20
(-20 * 5 + x2 * 5) = 20
(-100 + 5x2) = 20

Solving
-100 + 5x2 = 20

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 5x2 = 20 + 100

Combine like terms: -100 + 100 = 0
0 + 5x2 = 20 + 100
5x2 = 20 + 100

Combine like terms: 20 + 100 = 120
5x2 = 120

Divide each side by '5'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}

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