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Simplifying
4x2 + -169 = 0
Reorder the terms:
-169 + 4x2 = 0
Solving
-169 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '169' to each side of the equation.
-169 + 169 + 4x2 = 0 + 169
Combine like terms: -169 + 169 = 0
0 + 4x2 = 0 + 169
4x2 = 0 + 169
Combine like terms: 0 + 169 = 169
4x2 = 169
Divide each side by '4'.
x2 = 42.25
Simplifying
x2 = 42.25
Take the square root of each side:
x = {-6.5, 6.5}
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