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Simplifying
9x2 + -1 + -1x2 = 7
Reorder the terms:
-1 + 9x2 + -1x2 = 7
Combine like terms: 9x2 + -1x2 = 8x2
-1 + 8x2 = 7
Solving
-1 + 8x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 8x2 = 7 + 1
Combine like terms: -1 + 1 = 0
0 + 8x2 = 7 + 1
8x2 = 7 + 1
Combine like terms: 7 + 1 = 8
8x2 = 8
Divide each side by '8'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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