14b^2+142b+144=

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Solution for 14b^2+142b+144= equation:


Simplifying
14b2 + 142b + 144 = 0

Reorder the terms:
144 + 142b + 14b2 = 0

Solving
144 + 142b + 14b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + 71b + 7b2) = 0

Factor a trinomial.
2((9 + b)(8 + 7b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9

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 = {-9, -1.142857143}

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