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Simplifying 6b4 + -35b2 + 36 = 0 Reorder the terms: 36 + -35b2 + 6b4 = 0 Solving 36 + -35b2 + 6b4 = 0 Solving for variable 'b'. Factor a trinomial. (4 + -3b2)(9 + -2b2) = 0Subproblem 1
Set the factor '(4 + -3b2)' equal to zero and attempt to solve: Simplifying 4 + -3b2 = 0 Solving 4 + -3b2 = 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 + -3b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3b2 = 0 + -4 -3b2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3b2 = -4 Divide each side by '-3'. b2 = 1.333333333 Simplifying b2 = 1.333333333 Take the square root of each side: b = {-1.154700538, 1.154700538}Subproblem 2
Set the factor '(9 + -2b2)' equal to zero and attempt to solve: Simplifying 9 + -2b2 = 0 Solving 9 + -2b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2b2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2b2 = 0 + -9 -2b2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2b2 = -9 Divide each side by '-2'. b2 = 4.5 Simplifying b2 = 4.5 Take the square root of each side: b = {-2.121320344, 2.121320344}Solution
b = {-1.154700538, 1.154700538, -2.121320344, 2.121320344}
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