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Simplifying
5x2 + 5 = x2 + 25
Reorder the terms:
5 + 5x2 = x2 + 25
Reorder the terms:
5 + 5x2 = 25 + x2
Solving
5 + 5x2 = 25 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
5 + 5x2 + -1x2 = 25 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
5 + 4x2 = 25 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
5 + 4x2 = 25 + 0
5 + 4x2 = 25
Add '-5' to each side of the equation.
5 + -5 + 4x2 = 25 + -5
Combine like terms: 5 + -5 = 0
0 + 4x2 = 25 + -5
4x2 = 25 + -5
Combine like terms: 25 + -5 = 20
4x2 = 20
Divide each side by '4'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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