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Simplifying
7x2 + -15 + 6 = 0
Reorder the terms:
-15 + 6 + 7x2 = 0
Combine like terms: -15 + 6 = -9
-9 + 7x2 = 0
Solving
-9 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 7x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 7x2 = 0 + 9
7x2 = 0 + 9
Combine like terms: 0 + 9 = 9
7x2 = 9
Divide each side by '7'.
x2 = 1.285714286
Simplifying
x2 = 1.285714286
Take the square root of each side:
x = {-1.133893419, 1.133893419}
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