44b^2-288b-140=0

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Solution for 44b^2-288b-140=0 equation:


Simplifying
44b2 + -288b + -140 = 0

Reorder the terms:
-140 + -288b + 44b2 = 0

Solving
-140 + -288b + 44b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-35 + -72b + 11b2) = 0

Factor a trinomial.
4((-5 + -11b)(7 + -1b)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + -11b)' equal to zero and attempt to solve: Simplifying -5 + -11b = 0 Solving -5 + -11b = 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 + -11b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11b = 0 + 5 -11b = 0 + 5 Combine like terms: 0 + 5 = 5 -11b = 5 Divide each side by '-11'. b = -0.4545454545 Simplifying b = -0.4545454545

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 = {-0.4545454545, 7}

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