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Simplifying
7x * x + -8 = 1
Multiply x * x
7x2 + -8 = 1
Reorder the terms:
-8 + 7x2 = 1
Solving
-8 + 7x2 = 1
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 7x2 = 1 + 8
Combine like terms: -8 + 8 = 0
0 + 7x2 = 1 + 8
7x2 = 1 + 8
Combine like terms: 1 + 8 = 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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