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Simplifying
4x2 + -26 + 9 = 0
Reorder the terms:
-26 + 9 + 4x2 = 0
Combine like terms: -26 + 9 = -17
-17 + 4x2 = 0
Solving
-17 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '17' to each side of the equation.
-17 + 17 + 4x2 = 0 + 17
Combine like terms: -17 + 17 = 0
0 + 4x2 = 0 + 17
4x2 = 0 + 17
Combine like terms: 0 + 17 = 17
4x2 = 17
Divide each side by '4'.
x2 = 4.25
Simplifying
x2 = 4.25
Take the square root of each side:
x = {-2.061552813, 2.061552813}
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