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Simplifying
(2x2 + -1) + -10(2x2 + -1) + 9 = 0
Reorder the terms:
(-1 + 2x2) + -10(2x2 + -1) + 9 = 0
Remove parenthesis around (-1 + 2x2)
-1 + 2x2 + -10(2x2 + -1) + 9 = 0
Reorder the terms:
-1 + 2x2 + -10(-1 + 2x2) + 9 = 0
-1 + 2x2 + (-1 * -10 + 2x2 * -10) + 9 = 0
-1 + 2x2 + (10 + -20x2) + 9 = 0
Reorder the terms:
-1 + 10 + 9 + 2x2 + -20x2 = 0
Combine like terms: -1 + 10 = 9
9 + 9 + 2x2 + -20x2 = 0
Combine like terms: 9 + 9 = 18
18 + 2x2 + -20x2 = 0
Combine like terms: 2x2 + -20x2 = -18x2
18 + -18x2 = 0
Solving
18 + -18x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18' to each side of the equation.
18 + -18 + -18x2 = 0 + -18
Combine like terms: 18 + -18 = 0
0 + -18x2 = 0 + -18
-18x2 = 0 + -18
Combine like terms: 0 + -18 = -18
-18x2 = -18
Divide each side by '-18'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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