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Simplifying
10x2 + 5 = x2 + 25
Reorder the terms:
5 + 10x2 = x2 + 25
Reorder the terms:
5 + 10x2 = 25 + x2
Solving
5 + 10x2 = 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 + 10x2 + -1x2 = 25 + x2 + -1x2
Combine like terms: 10x2 + -1x2 = 9x2
5 + 9x2 = 25 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
5 + 9x2 = 25 + 0
5 + 9x2 = 25
Add '-5' to each side of the equation.
5 + -5 + 9x2 = 25 + -5
Combine like terms: 5 + -5 = 0
0 + 9x2 = 25 + -5
9x2 = 25 + -5
Combine like terms: 25 + -5 = 20
9x2 = 20
Divide each side by '9'.
x2 = 2.222222222
Simplifying
x2 = 2.222222222
Take the square root of each side:
x = {-1.490711985, 1.490711985}
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