7b^2+8b+8=8

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Solution for 7b^2+8b+8=8 equation:


Simplifying
7b2 + 8b + 8 = 8

Reorder the terms:
8 + 8b + 7b2 = 8

Add '-8' to each side of the equation.
8 + 8b + -8 + 7b2 = 8 + -8

Reorder the terms:
8 + -8 + 8b + 7b2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 8b + 7b2 = 8 + -8
8b + 7b2 = 8 + -8

Combine like terms: 8 + -8 = 0
8b + 7b2 = 0

Solving
8b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(8 + 7b) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(8 + 7b)' equal to zero and attempt to solve: Simplifying 8 + 7b = 0 Solving 8 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7b = 0 + -8 7b = 0 + -8 Combine like terms: 0 + -8 = -8 7b = -8 Divide each side by '7'. b = -1.142857143 Simplifying b = -1.142857143

Solution

b = {0, -1.142857143}

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