4a-[3b+2]b=-2

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Solution for 4a-[3b+2]b=-2 equation:


Simplifying
4a + -1[3b + 2] * b = -2

Reorder the terms:
4a + -1[2 + 3b] * b = -2

Reorder the terms for easier multiplication:
4a + -1b[2 + 3b] = -2
4a + [2 * -1b + 3b * -1b] = -2
4a + [-2b + -3b2] = -2

Solving
4a + -2b + -3b2 = -2

Solving for variable 'a'.

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

Add '2b' to each side of the equation.
4a + -2b + 2b + -3b2 = -2 + 2b

Combine like terms: -2b + 2b = 0
4a + 0 + -3b2 = -2 + 2b
4a + -3b2 = -2 + 2b

Add '3b2' to each side of the equation.
4a + -3b2 + 3b2 = -2 + 2b + 3b2

Combine like terms: -3b2 + 3b2 = 0
4a + 0 = -2 + 2b + 3b2
4a = -2 + 2b + 3b2

Divide each side by '4'.
a = -0.5 + 0.5b + 0.75b2

Simplifying
a = -0.5 + 0.5b + 0.75b2

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