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Simplifying b2 + -9bx + 14x2 = 0 Reorder the terms: -9bx + b2 + 14x2 = 0 Solving -9bx + b2 + 14x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -7x)(b + -2x) = 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 + -2x)' equal to zero and attempt to solve: Simplifying b + -2x = 0 Solving b + -2x = 0 Move all terms containing b to the left, all other terms to the right. Add '2x' to each side of the equation. b + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 b + 0 = 0 + 2x b = 0 + 2x Remove the zero: b = 2x Simplifying b = 2xSolution
b = {7x, 2x}
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