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Simplifying K(x + -2)(x + -7) = 0 Reorder the terms: K(-2 + x)(x + -7) = 0 Reorder the terms: K(-2 + x)(-7 + x) = 0 Multiply (-2 + x) * (-7 + x) K(-2(-7 + x) + x(-7 + x)) = 0 K((-7 * -2 + x * -2) + x(-7 + x)) = 0 K((14 + -2x) + x(-7 + x)) = 0 K(14 + -2x + (-7 * x + x * x)) = 0 K(14 + -2x + (-7x + x2)) = 0 Combine like terms: -2x + -7x = -9x K(14 + -9x + x2) = 0 (14 * K + -9x * K + x2 * K) = 0 (14K + -9xK + x2K) = 0 Solving 14K + -9xK + x2K = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'K'. K(14 + -9x + x2) = 0 Factor a trinomial. K((2 + -1x)(7 + -1x)) = 0Subproblem 1
Set the factor 'K' equal to zero and attempt to solve: Simplifying K = 0 Solving K = 0 Move all terms containing K to the left, all other terms to the right. Simplifying K = 0Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing K to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing K to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Add 'x' to each side of the equation. -1x + x = -7 + x Combine like terms: -1x + x = 0 0 = -7 + x Simplifying 0 = -7 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
K = {0}
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