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Simplifying
4x2 + -26 = 0
Reorder the terms:
-26 + 4x2 = 0
Solving
-26 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '26' to each side of the equation.
-26 + 26 + 4x2 = 0 + 26
Combine like terms: -26 + 26 = 0
0 + 4x2 = 0 + 26
4x2 = 0 + 26
Combine like terms: 0 + 26 = 26
4x2 = 26
Divide each side by '4'.
x2 = 6.5
Simplifying
x2 = 6.5
Take the square root of each side:
x = {-2.549509757, 2.549509757}
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