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Simplifying
7a2 + 25 + -40a2 = 0
Reorder the terms:
25 + 7a2 + -40a2 = 0
Combine like terms: 7a2 + -40a2 = -33a2
25 + -33a2 = 0
Solving
25 + -33a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -33a2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -33a2 = 0 + -25
-33a2 = 0 + -25
Combine like terms: 0 + -25 = -25
-33a2 = -25
Divide each side by '-33'.
a2 = 0.7575757576
Simplifying
a2 = 0.7575757576
Take the square root of each side:
a = {-0.87038828, 0.87038828}
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