6a+5a^2=48+(-10a)+5a^2

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Solution for 6a+5a^2=48+(-10a)+5a^2 equation:


Simplifying
6a + 5a2 = 48 + (-10a) + 5a2

Add '-5a2' to each side of the equation.
6a + 5a2 + -5a2 = 48 + (-10a) + 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
6a + 0 = 48 + (-10a) + 5a2 + -5a2
6a = 48 + (-10a) + 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
6a = 48 + (-10a) + 0
6a = 48 + (-10a)

Solving
6a = 48 + (-10a)

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '(10a)' to each side of the equation.
6a + (10a) = 48 + (-10a) + (10a)

Combine like terms: 6a + (10a) = 16a
16a = 48 + (-10a) + (10a)

Combine like terms: (-10a) + (10a) = 0
16a = 48 + 0
16a = 48

Divide each side by '16'.
a = 3

Simplifying
a = 3

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