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Simplifying
40x2 + -46 + 12 = 0
Reorder the terms:
-46 + 12 + 40x2 = 0
Combine like terms: -46 + 12 = -34
-34 + 40x2 = 0
Solving
-34 + 40x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34' to each side of the equation.
-34 + 34 + 40x2 = 0 + 34
Combine like terms: -34 + 34 = 0
0 + 40x2 = 0 + 34
40x2 = 0 + 34
Combine like terms: 0 + 34 = 34
40x2 = 34
Divide each side by '40'.
x2 = 0.85
Simplifying
x2 = 0.85
Take the square root of each side:
x = {-0.921954446, 0.921954446}
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