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Simplifying 98h5 + -2h = 0 Reorder the terms: -2h + 98h5 = 0 Solving -2h + 98h5 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(-1 + 49h4) = 0 Factor a difference between two squares. 2h((1 + 7h2)(-1 + 7h2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 2
Set the factor '(1 + 7h2)' equal to zero and attempt to solve: Simplifying 1 + 7h2 = 0 Solving 1 + 7h2 = 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 + 7h2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7h2 = 0 + -1 7h2 = 0 + -1 Combine like terms: 0 + -1 = -1 7h2 = -1 Divide each side by '7'. h2 = -0.1428571429 Simplifying h2 = -0.1428571429 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 + 7h2)' equal to zero and attempt to solve: Simplifying -1 + 7h2 = 0 Solving -1 + 7h2 = 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 + 7h2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7h2 = 0 + 1 7h2 = 0 + 1 Combine like terms: 0 + 1 = 1 7h2 = 1 Divide each side by '7'. h2 = 0.1428571429 Simplifying h2 = 0.1428571429 Take the square root of each side: h = {-0.377964473, 0.377964473}Solution
h = {0, -0.377964473, 0.377964473}
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