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