8+2(3a-5)-(6a-8b*b)-4b*b=

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Solution for 8+2(3a-5)-(6a-8b*b)-4b*b= equation: 


Simplifying
8 + 2(3a + -5) + -1(6a + -8b * b) + -4b * b = 0

Reorder the terms:
8 + 2(-5 + 3a) + -1(6a + -8b * b) + -4b * b = 0
8 + (-5 * 2 + 3a * 2) + -1(6a + -8b * b) + -4b * b = 0
8 + (-10 + 6a) + -1(6a + -8b * b) + -4b * b = 0

Multiply b * b
8 + -10 + 6a + -1(6a + -8b2) + -4b * b = 0
8 + -10 + 6a + (6a * -1 + -8b2 * -1) + -4b * b = 0
8 + -10 + 6a + (-6a + 8b2) + -4b * b = 0

Multiply b * b
8 + -10 + 6a + -6a + 8b2 + -4b2 = 0

Combine like terms: 8 + -10 = -2
-2 + 6a + -6a + 8b2 + -4b2 = 0

Combine like terms: 6a + -6a = 0
-2 + 0 + 8b2 + -4b2 = 0
-2 + 8b2 + -4b2 = 0

Combine like terms: 8b2 + -4b2 = 4b2
-2 + 4b2 = 0

Solving
-2 + 4b2 = 0

Solving for variable 'b'.

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

Add '2' to each side of the equation.
-2 + 2 + 4b2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4b2 = 0 + 2
4b2 = 0 + 2

Combine like terms: 0 + 2 = 2
4b2 = 2

Divide each side by '4'.
b2 = 0.5

Simplifying
b2 = 0.5

Take the square root of each side:
b = {-0.707106781, 0.707106781}

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