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Simplifying 7hkx2 + 21hkx + 14hk = 0 Reorder the terms: 14hk + 21hkx + 7hkx2 = 0 Solving 14hk + 21hkx + 7hkx2 = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7hk'. 7hk(2 + 3x + x2) = 0 Factor a trinomial. 7hk((2 + x)(1 + x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'hk' equal to zero and attempt to solve: Simplifying hk = 0 Solving hk = 0 Move all terms containing h to the left, all other terms to the right. Simplifying hk = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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