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Simplifying
8x2 + 25 = 2x2 + 125
Reorder the terms:
25 + 8x2 = 2x2 + 125
Reorder the terms:
25 + 8x2 = 125 + 2x2
Solving
25 + 8x2 = 125 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
25 + 8x2 + -2x2 = 125 + 2x2 + -2x2
Combine like terms: 8x2 + -2x2 = 6x2
25 + 6x2 = 125 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
25 + 6x2 = 125 + 0
25 + 6x2 = 125
Add '-25' to each side of the equation.
25 + -25 + 6x2 = 125 + -25
Combine like terms: 25 + -25 = 0
0 + 6x2 = 125 + -25
6x2 = 125 + -25
Combine like terms: 125 + -25 = 100
6x2 = 100
Divide each side by '6'.
x2 = 16.66666667
Simplifying
x2 = 16.66666667
Take the square root of each side:
x = {-4.082482905, 4.082482905}
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