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Simplifying kx3 + 2kx2 + -63kx = 0 Reorder the terms: -63kx + 2kx2 + kx3 = 0 Solving -63kx + 2kx2 + kx3 = 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), 'kx'. kx(-63 + 2x + x2) = 0 Factor a trinomial. kx((-9 + -1x)(7 + -1x)) = 0Subproblem 1
Set the factor 'kx' equal to zero and attempt to solve: Simplifying kx = 0 Solving kx = 0 Move all terms containing k to the left, all other terms to the right. Simplifying kx = 0 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 '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Add 'x' to each side of the equation. -1x + x = 9 + x Combine like terms: -1x + x = 0 0 = 9 + x Simplifying 0 = 9 + 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. The solution to this equation could not be determined.
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