(6b-70)(4b-10)=0

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Solution for (6b-70)(4b-10)=0 equation: 


Simplifying
(6b + -70)(4b + -10) = 0

Reorder the terms:
(-70 + 6b)(4b + -10) = 0

Reorder the terms:
(-70 + 6b)(-10 + 4b) = 0

Multiply (-70 + 6b) * (-10 + 4b)
(-70(-10 + 4b) + 6b * (-10 + 4b)) = 0
((-10 * -70 + 4b * -70) + 6b * (-10 + 4b)) = 0
((700 + -280b) + 6b * (-10 + 4b)) = 0
(700 + -280b + (-10 * 6b + 4b * 6b)) = 0
(700 + -280b + (-60b + 24b2)) = 0

Combine like terms: -280b + -60b = -340b
(700 + -340b + 24b2) = 0

Solving
700 + -340b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(175 + -85b + 6b2) = 0

Factor a trinomial.
4((5 + -2b)(35 + -3b)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -2b)' equal to zero and attempt to solve:

Simplifying
5 + -2b = 0

Solving
5 + -2b = 0

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

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

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

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

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5

Subproblem 2
Set the factor '(35 + -3b)' equal to zero and attempt to solve:

Simplifying
35 + -3b = 0

Solving
35 + -3b = 0

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

Add '-35' to each side of the equation.
35 + -35 + -3b = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -3b = 0 + -35
-3b = 0 + -35

Combine like terms: 0 + -35 = -35
-3b = -35

Divide each side by '-3'.
b = 11.66666667

Simplifying
b = 11.66666667
Solution
b = {2.5, 11.66666667}

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