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Simplifying
(-12x + -1) + (-8x2 + 12x + 11) = 0
Reorder the terms:
(-1 + -12x) + (-8x2 + 12x + 11) = 0
Remove parenthesis around (-1 + -12x)
-1 + -12x + (-8x2 + 12x + 11) = 0
Reorder the terms:
-1 + -12x + (11 + 12x + -8x2) = 0
Remove parenthesis around (11 + 12x + -8x2)
-1 + -12x + 11 + 12x + -8x2 = 0
Reorder the terms:
-1 + 11 + -12x + 12x + -8x2 = 0
Combine like terms: -1 + 11 = 10
10 + -12x + 12x + -8x2 = 0
Combine like terms: -12x + 12x = 0
10 + 0 + -8x2 = 0
10 + -8x2 = 0
Solving
10 + -8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -8x2 = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -8x2 = 0 + -10
-8x2 = 0 + -10
Combine like terms: 0 + -10 = -10
-8x2 = -10
Divide each side by '-8'.
x2 = 1.25
Simplifying
x2 = 1.25
Take the square root of each side:
x = {-1.118033989, 1.118033989}
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