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Simplifying
(6a2 + -2a + -7) + (4a2 + 2a + -4) = 0
Reorder the terms:
(-7 + -2a + 6a2) + (4a2 + 2a + -4) = 0
Remove parenthesis around (-7 + -2a + 6a2)
-7 + -2a + 6a2 + (4a2 + 2a + -4) = 0
Reorder the terms:
-7 + -2a + 6a2 + (-4 + 2a + 4a2) = 0
Remove parenthesis around (-4 + 2a + 4a2)
-7 + -2a + 6a2 + -4 + 2a + 4a2 = 0
Reorder the terms:
-7 + -4 + -2a + 2a + 6a2 + 4a2 = 0
Combine like terms: -7 + -4 = -11
-11 + -2a + 2a + 6a2 + 4a2 = 0
Combine like terms: -2a + 2a = 0
-11 + 0 + 6a2 + 4a2 = 0
-11 + 6a2 + 4a2 = 0
Combine like terms: 6a2 + 4a2 = 10a2
-11 + 10a2 = 0
Solving
-11 + 10a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 10a2 = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 10a2 = 0 + 11
10a2 = 0 + 11
Combine like terms: 0 + 11 = 11
10a2 = 11
Divide each side by '10'.
a2 = 1.1
Simplifying
a2 = 1.1
Take the square root of each side:
a = {-1.048808848, 1.048808848}
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