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Simplifying
7x2 = x2 + 5
Reorder the terms:
7x2 = 5 + x2
Solving
7x2 = 5 + 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.
7x2 + -1x2 = 5 + x2 + -1x2
Combine like terms: 7x2 + -1x2 = 6x2
6x2 = 5 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
6x2 = 5 + 0
6x2 = 5
Divide each side by '6'.
x2 = 0.8333333333
Simplifying
x2 = 0.8333333333
Take the square root of each side:
x = {-0.912870929, 0.912870929}
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