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Simplifying b2 + -13bx + 42x2 = 0 Reorder the terms: -13bx + b2 + 42x2 = 0 Solving -13bx + b2 + 42x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -7x)(b + -6x) = 0Subproblem 1
Set the factor '(b + -7x)' equal to zero and attempt to solve: Simplifying b + -7x = 0 Solving b + -7x = 0 Move all terms containing b to the left, all other terms to the right. Add '7x' to each side of the equation. b + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 b + 0 = 0 + 7x b = 0 + 7x Remove the zero: b = 7x Simplifying b = 7xSubproblem 2
Set the factor '(b + -6x)' equal to zero and attempt to solve: Simplifying b + -6x = 0 Solving b + -6x = 0 Move all terms containing b to the left, all other terms to the right. Add '6x' to each side of the equation. b + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 b + 0 = 0 + 6x b = 0 + 6x Remove the zero: b = 6x Simplifying b = 6xSolution
b = {7x, 6x}
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