5a^2+7=87

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Solution for 5a^2+7=87 equation:


Simplifying
5a2 + 7 = 87

Reorder the terms:
7 + 5a2 = 87

Solving
7 + 5a2 = 87

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 5a2 = 87 + -7

Combine like terms: 7 + -7 = 0
0 + 5a2 = 87 + -7
5a2 = 87 + -7

Combine like terms: 87 + -7 = 80
5a2 = 80

Divide each side by '5'.
a2 = 16

Simplifying
a2 = 16

Take the square root of each side:
a = {-4, 4}

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