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Simplifying 18b4 + -33b2 + 14 = 0 Reorder the terms: 14 + -33b2 + 18b4 = 0 Solving 14 + -33b2 + 18b4 = 0 Solving for variable 'b'. Factor a trinomial. (2 + -3b2)(7 + -6b2) = 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 Take the square root of each side: b = {-0.816496581, 0.816496581}Subproblem 2
Set the factor '(7 + -6b2)' equal to zero and attempt to solve: Simplifying 7 + -6b2 = 0 Solving 7 + -6b2 = 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 + -6b2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6b2 = 0 + -7 -6b2 = 0 + -7 Combine like terms: 0 + -7 = -7 -6b2 = -7 Divide each side by '-6'. b2 = 1.166666667 Simplifying b2 = 1.166666667 Take the square root of each side: b = {-1.08012345, 1.08012345}Solution
b = {-0.816496581, 0.816496581, -1.08012345, 1.08012345}
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