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Simplifying (b + -7) * x(b + -7) = 0 Reorder the terms: (-7 + b) * x(b + -7) = 0 Reorder the terms: (-7 + b) * x(-7 + b) = 0 Reorder the terms for easier multiplication: x(-7 + b)(-7 + b) = 0 Multiply (-7 + b) * (-7 + b) x(-7(-7 + b) + b(-7 + b)) = 0 x((-7 * -7 + b * -7) + b(-7 + b)) = 0 x((49 + -7b) + b(-7 + b)) = 0 x(49 + -7b + (-7 * b + b * b)) = 0 x(49 + -7b + (-7b + b2)) = 0 Combine like terms: -7b + -7b = -14b x(49 + -14b + b2) = 0 (49 * x + -14b * x + b2 * x) = 0 Reorder the terms: (-14bx + b2x + 49x) = 0 (-14bx + b2x + 49x) = 0 Solving -14bx + b2x + 49x = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'x'. x(-14b + b2 + 49) = 0 Factor a trinomial. x((b + -7)(b + -7)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(b + -7)' equal to zero and attempt to solve: Simplifying b + -7 = 0 Reorder the terms: -7 + b = 0 Solving -7 + b = 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 + b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + b = 0 + 7 b = 0 + 7 Combine like terms: 0 + 7 = 7 b = 7 Simplifying b = 7Subproblem 3
Set the factor '(b + -7)' equal to zero and attempt to solve: Simplifying b + -7 = 0 Reorder the terms: -7 + b = 0 Solving -7 + b = 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 + b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + b = 0 + 7 b = 0 + 7 Combine like terms: 0 + 7 = 7 b = 7 Simplifying b = 7Solution
b = {7, 7}
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