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Simplifying
-4x2 + 29 + 14 = 0
Reorder the terms:
29 + 14 + -4x2 = 0
Combine like terms: 29 + 14 = 43
43 + -4x2 = 0
Solving
43 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-43' to each side of the equation.
43 + -43 + -4x2 = 0 + -43
Combine like terms: 43 + -43 = 0
0 + -4x2 = 0 + -43
-4x2 = 0 + -43
Combine like terms: 0 + -43 = -43
-4x2 = -43
Divide each side by '-4'.
x2 = 10.75
Simplifying
x2 = 10.75
Take the square root of each side:
x = {-3.278719262, 3.278719262}
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