60=5(x^2+4)

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Solution for 60=5(x^2+4) equation:


Simplifying
60 = 5(x2 + 4)

Reorder the terms:
60 = 5(4 + x2)
60 = (4 * 5 + x2 * 5)
60 = (20 + 5x2)

Solving
60 = 20 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
60 + -5x2 = 20 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
60 + -5x2 = 20 + 0
60 + -5x2 = 20

Add '-60' to each side of the equation.
60 + -60 + -5x2 = 20 + -60

Combine like terms: 60 + -60 = 0
0 + -5x2 = 20 + -60
-5x2 = 20 + -60

Combine like terms: 20 + -60 = -40
-5x2 = -40

Divide each side by '-5'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}

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