H^2+4=8h-3 - Solution

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h^2+4=8h-3

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Solution for h^2+4=8h-3 equation:

Simplifying h2 + 4 = 8h + -3 Reorder the terms: 4 + h2 = 8h + -3 Reorder the terms: 4 + h2 = -3 + 8h Solving 4 + h2 = -3 + 8h Solving for variable 'h'. Reorder the terms: 4 + 3 + -8h + h2 = -3 + 8h + 3 + -8h Combine like terms: 4 + 3 = 7 7 + -8h + h2 = -3 + 8h + 3 + -8h Reorder the terms: 7 + -8h + h2 = -3 + 3 + 8h + -8h Combine like terms: -3 + 3 = 0 7 + -8h + h2 = 0 + 8h + -8h 7 + -8h + h2 = 8h + -8h Combine like terms: 8h + -8h = 0 7 + -8h + h2 = 0 Factor a trinomial. (1 + -1h)(7 + -1h) = 0

Subproblem 1

Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1

Subproblem 2

Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 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 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7

Solution

h = {1, 7}

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