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Simplifying
7m2 + 3 = 178
Reorder the terms:
3 + 7m2 = 178
Solving
3 + 7m2 = 178
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 7m2 = 178 + -3
Combine like terms: 3 + -3 = 0
0 + 7m2 = 178 + -3
7m2 = 178 + -3
Combine like terms: 178 + -3 = 175
7m2 = 175
Divide each side by '7'.
m2 = 25
Simplifying
m2 = 25
Take the square root of each side:
m = {-5, 5}
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