5(x^2+5)=100

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Solution for 5(x^2+5)=100 equation:


Simplifying
5(x2 + 5) = 100

Reorder the terms:
5(5 + x2) = 100
(5 * 5 + x2 * 5) = 100
(25 + 5x2) = 100

Solving
25 + 5x2 = 100

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 5x2 = 100 + -25

Combine like terms: 25 + -25 = 0
0 + 5x2 = 100 + -25
5x2 = 100 + -25

Combine like terms: 100 + -25 = 75
5x2 = 75

Divide each side by '5'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}

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