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Simplifying (-1B2 + 3)(B2 + -6) = 0 Reorder the terms: (3 + -1B2)(B2 + -6) = 0 Reorder the terms: (3 + -1B2)(-6 + B2) = 0 Multiply (3 + -1B2) * (-6 + B2) (3(-6 + B2) + -1B2 * (-6 + B2)) = 0 ((-6 * 3 + B2 * 3) + -1B2 * (-6 + B2)) = 0 ((-18 + 3B2) + -1B2 * (-6 + B2)) = 0 (-18 + 3B2 + (-6 * -1B2 + B2 * -1B2)) = 0 (-18 + 3B2 + (6B2 + -1B4)) = 0 Combine like terms: 3B2 + 6B2 = 9B2 (-18 + 9B2 + -1B4) = 0 Solving -18 + 9B2 + -1B4 = 0 Solving for variable 'B'. Factor a trinomial. (-6 + B2)(3 + -1B2) = 0Subproblem 1
Set the factor '(-6 + B2)' equal to zero and attempt to solve: Simplifying -6 + B2 = 0 Solving -6 + B2 = 0 Move all terms containing B to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + B2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + B2 = 0 + 6 B2 = 0 + 6 Combine like terms: 0 + 6 = 6 B2 = 6 Simplifying B2 = 6 Take the square root of each side: B = {-2.449489743, 2.449489743}Subproblem 2
Set the factor '(3 + -1B2)' equal to zero and attempt to solve: Simplifying 3 + -1B2 = 0 Solving 3 + -1B2 = 0 Move all terms containing B to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1B2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1B2 = 0 + -3 -1B2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1B2 = -3 Divide each side by '-1'. B2 = 3 Simplifying B2 = 3 Take the square root of each side: B = {-1.732050808, 1.732050808}Solution
B = {-2.449489743, 2.449489743, -1.732050808, 1.732050808}
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