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Simplifying
8x2 + -10 = x2 + 25
Reorder the terms:
-10 + 8x2 = x2 + 25
Reorder the terms:
-10 + 8x2 = 25 + x2
Solving
-10 + 8x2 = 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.
-10 + 8x2 + -1x2 = 25 + x2 + -1x2
Combine like terms: 8x2 + -1x2 = 7x2
-10 + 7x2 = 25 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-10 + 7x2 = 25 + 0
-10 + 7x2 = 25
Add '10' to each side of the equation.
-10 + 10 + 7x2 = 25 + 10
Combine like terms: -10 + 10 = 0
0 + 7x2 = 25 + 10
7x2 = 25 + 10
Combine like terms: 25 + 10 = 35
7x2 = 35
Divide each side by '7'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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