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Simplifying 27b4 + -3b2 + -14 = 0 Reorder the terms: -14 + -3b2 + 27b4 = 0 Solving -14 + -3b2 + 27b4 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -3b2)(7 + -9b2) = 0Subproblem 1
Set the factor '(-2 + -3b2)' equal to zero and attempt to solve: Simplifying -2 + -3b2 = 0 Solving -2 + -3b2 = 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 + -3b2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b2 = 0 + 2 -3b2 = 0 + 2 Combine like terms: 0 + 2 = 2 -3b2 = 2 Divide each side by '-3'. b2 = -0.6666666667 Simplifying b2 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -9b2)' equal to zero and attempt to solve: Simplifying 7 + -9b2 = 0 Solving 7 + -9b2 = 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 + -9b2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9b2 = 0 + -7 -9b2 = 0 + -7 Combine like terms: 0 + -7 = -7 -9b2 = -7 Divide each side by '-9'. b2 = 0.7777777778 Simplifying b2 = 0.7777777778 Take the square root of each side: b = {-0.881917104, 0.881917104}Solution
b = {-0.881917104, 0.881917104}
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