5b^2-42b+49=0

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Solution for 5b^2-42b+49=0 equation: 


Simplifying
5b2 + -42b + 49 = 0

Reorder the terms:
49 + -42b + 5b2 = 0

Solving
49 + -42b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(7 + -5b)(7 + -1b) = 0


Subproblem 1
Set the factor '(7 + -5b)' equal to zero and attempt to solve:

Simplifying
7 + -5b = 0

Solving
7 + -5b = 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 + -5b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5b = 0 + -7
-5b = 0 + -7

Combine like terms: 0 + -7 = -7
-5b = -7

Divide each side by '-5'.
b = 1.4

Simplifying
b = 1.4

Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 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 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {1.4, 7}

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