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Simplifying
3a2 + 37a + -169 = 37a + -13a2
Reorder the terms:
-169 + 37a + 3a2 = 37a + -13a2
Add '-37a' to each side of the equation.
-169 + 37a + -37a + 3a2 = 37a + -37a + -13a2
Combine like terms: 37a + -37a = 0
-169 + 0 + 3a2 = 37a + -37a + -13a2
-169 + 3a2 = 37a + -37a + -13a2
Combine like terms: 37a + -37a = 0
-169 + 3a2 = 0 + -13a2
-169 + 3a2 = -13a2
Solving
-169 + 3a2 = -13a2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '13a2' to each side of the equation.
-169 + 3a2 + 13a2 = -13a2 + 13a2
Combine like terms: 3a2 + 13a2 = 16a2
-169 + 16a2 = -13a2 + 13a2
Combine like terms: -13a2 + 13a2 = 0
-169 + 16a2 = 0
Add '169' to each side of the equation.
-169 + 169 + 16a2 = 0 + 169
Combine like terms: -169 + 169 = 0
0 + 16a2 = 0 + 169
16a2 = 0 + 169
Combine like terms: 0 + 169 = 169
16a2 = 169
Divide each side by '16'.
a2 = 10.5625
Simplifying
a2 = 10.5625
Take the square root of each side:
a = {-3.25, 3.25}
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