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Simplifying h6 + -49h4 = 0 Reorder the terms: -49h4 + h6 = 0 Solving -49h4 + h6 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h4'. h4(-49 + h2) = 0 Factor a difference between two squares. h4((7 + h)(-7 + h)) = 0Subproblem 1
Set the factor 'h4' equal to zero and attempt to solve: Simplifying h4 = 0 Solving h4 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h4 = 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 '(7 + h)' equal to zero and attempt to solve: Simplifying 7 + h = 0 Solving 7 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + h = 0 + -7 h = 0 + -7 Combine like terms: 0 + -7 = -7 h = -7 Simplifying h = -7Subproblem 3
Set the factor '(-7 + h)' equal to zero and attempt to solve: Simplifying -7 + h = 0 Solving -7 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + h = 0 + 7 h = 0 + 7 Combine like terms: 0 + 7 = 7 h = 7 Simplifying h = 7Solution
h = {-7, 7}
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