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Simplifying 2b4 + -6b2 + -56 = 0 Reorder the terms: -56 + -6b2 + 2b4 = 0 Solving -56 + -6b2 + 2b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + -3b2 + b4) = 0 Factor a trinomial. 2((-4 + -1b2)(7 + -1b2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1b2)' equal to zero and attempt to solve: Simplifying -4 + -1b2 = 0 Solving -4 + -1b2 = 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 + -1b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b2 = 0 + 4 -1b2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1b2 = 4 Divide each side by '-1'. b2 = -4 Simplifying b2 = -4 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 + -1b2)' equal to zero and attempt to solve: Simplifying 7 + -1b2 = 0 Solving 7 + -1b2 = 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 + -1b2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b2 = 0 + -7 -1b2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1b2 = -7 Divide each side by '-1'. b2 = 7 Simplifying b2 = 7 Take the square root of each side: b = {-2.645751311, 2.645751311}Solution
b = {-2.645751311, 2.645751311}
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