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Simplifying
7x2 + -175 = 0
Reorder the terms:
-175 + 7x2 = 0
Solving
-175 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '175' to each side of the equation.
-175 + 175 + 7x2 = 0 + 175
Combine like terms: -175 + 175 = 0
0 + 7x2 = 0 + 175
7x2 = 0 + 175
Combine like terms: 0 + 175 = 175
7x2 = 175
Divide each side by '7'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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