(-7b^2-12)-(-10b^2-4)=

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Solution for (-7b^2-12)-(-10b^2-4)= equation:


Simplifying
(-7b2 + -12) + -1(-10b2 + -4) = 0

Reorder the terms:
(-12 + -7b2) + -1(-10b2 + -4) = 0

Remove parenthesis around (-12 + -7b2)
-12 + -7b2 + -1(-10b2 + -4) = 0

Reorder the terms:
-12 + -7b2 + -1(-4 + -10b2) = 0
-12 + -7b2 + (-4 * -1 + -10b2 * -1) = 0
-12 + -7b2 + (4 + 10b2) = 0

Reorder the terms:
-12 + 4 + -7b2 + 10b2 = 0

Combine like terms: -12 + 4 = -8
-8 + -7b2 + 10b2 = 0

Combine like terms: -7b2 + 10b2 = 3b2
-8 + 3b2 = 0

Solving
-8 + 3b2 = 0

Solving for variable 'b'.

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

Add '8' to each side of the equation.
-8 + 8 + 3b2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3b2 = 0 + 8
3b2 = 0 + 8

Combine like terms: 0 + 8 = 8
3b2 = 8

Divide each side by '3'.
b2 = 2.666666667

Simplifying
b2 = 2.666666667

Take the square root of each side:
b = {-1.632993162, 1.632993162}

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