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Simplifying
8x2 + 7 = 23
Reorder the terms:
7 + 8x2 = 23
Solving
7 + 8x2 = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 8x2 = 23 + -7
Combine like terms: 7 + -7 = 0
0 + 8x2 = 23 + -7
8x2 = 23 + -7
Combine like terms: 23 + -7 = 16
8x2 = 16
Divide each side by '8'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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