15b^2+29b-14=0

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Solution for 15b^2+29b-14=0 equation: 


Simplifying
15b2 + 29b + -14 = 0

Reorder the terms:
-14 + 29b + 15b2 = 0

Solving
-14 + 29b + 15b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -3b)(2 + -5b) = 0


Subproblem 1
Set the factor '(-7 + -3b)' equal to zero and attempt to solve:

Simplifying
-7 + -3b = 0

Solving
-7 + -3b = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3b = 0 + 7
-3b = 0 + 7

Combine like terms: 0 + 7 = 7
-3b = 7

Divide each side by '-3'.
b = -2.333333333

Simplifying
b = -2.333333333

Subproblem 2
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5b = 0 + -2
-5b = 0 + -2

Combine like terms: 0 + -2 = -2
-5b = -2

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
Solution
b = {-2.333333333, 0.4}

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