5(x^2+2)=74

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Solution for 5(x^2+2)=74 equation:


Simplifying
5(x2 + 2) = 74

Reorder the terms:
5(2 + x2) = 74
(2 * 5 + x2 * 5) = 74
(10 + 5x2) = 74

Solving
10 + 5x2 = 74

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x2 = 74 + -10

Combine like terms: 10 + -10 = 0
0 + 5x2 = 74 + -10
5x2 = 74 + -10

Combine like terms: 74 + -10 = 64
5x2 = 64

Divide each side by '5'.
x2 = 12.8

Simplifying
x2 = 12.8

Take the square root of each side:
x = {-3.577708764, 3.577708764}

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