48b^2+52b-140=

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Solution for 48b^2+52b-140= equation:


Simplifying
48b2 + 52b + -140 = 0

Reorder the terms:
-140 + 52b + 48b2 = 0

Solving
-140 + 52b + 48b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-35 + 13b + 12b2) = 0

Factor a trinomial.
4((-7 + -3b)(5 + -4b)) = 0

Ignore the factor 4.

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 '(5 + -4b)' equal to zero and attempt to solve: Simplifying 5 + -4b = 0 Solving 5 + -4b = 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 + -4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4b = 0 + -5 -4b = 0 + -5 Combine like terms: 0 + -5 = -5 -4b = -5 Divide each side by '-4'. b = 1.25 Simplifying b = 1.25

Solution

b = {-2.333333333, 1.25}

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