25b^2+60b=160

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Solution for 25b^2+60b=160 equation:


Simplifying
25b2 + 60b = 160

Reorder the terms:
60b + 25b2 = 160

Solving
60b + 25b2 = 160

Solving for variable 'b'.

Reorder the terms:
-160 + 60b + 25b2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + 60b + 25b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-32 + 12b + 5b2) = 0

Factor a trinomial.
5((-4 + -1b)(8 + -5b)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4

Subproblem 2

Set the factor '(8 + -5b)' equal to zero and attempt to solve: Simplifying 8 + -5b = 0 Solving 8 + -5b = 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 + -5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5b = 0 + -8 -5b = 0 + -8 Combine like terms: 0 + -8 = -8 -5b = -8 Divide each side by '-5'. b = 1.6 Simplifying b = 1.6

Solution

b = {-4, 1.6}

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