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Simplifying
7x2 + -54 + 35 = 0
Reorder the terms:
-54 + 35 + 7x2 = 0
Combine like terms: -54 + 35 = -19
-19 + 7x2 = 0
Solving
-19 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 7x2 = 0 + 19
Combine like terms: -19 + 19 = 0
0 + 7x2 = 0 + 19
7x2 = 0 + 19
Combine like terms: 0 + 19 = 19
7x2 = 19
Divide each side by '7'.
x2 = 2.714285714
Simplifying
x2 = 2.714285714
Take the square root of each side:
x = {-1.647508942, 1.647508942}
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