24b^2-32b-35=-3

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Solution for 24b^2-32b-35=-3 equation:


Simplifying
24b2 + -32b + -35 = -3

Reorder the terms:
-35 + -32b + 24b2 = -3

Solving
-35 + -32b + 24b2 = -3

Solving for variable 'b'.

Reorder the terms:
-35 + 3 + -32b + 24b2 = -3 + 3

Combine like terms: -35 + 3 = -32
-32 + -32b + 24b2 = -3 + 3

Combine like terms: -3 + 3 = 0
-32 + -32b + 24b2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + -4b + 3b2) = 0

Factor a trinomial.
8((-2 + -3b)(2 + -1b)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667

Subproblem 2

Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2

Solution

b = {-0.6666666667, 2}

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