4h^2-30h+26=0

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Solution for 4h^2-30h+26=0 equation:


Simplifying
4h2 + -30h + 26 = 0

Reorder the terms:
26 + -30h + 4h2 = 0

Solving
26 + -30h + 4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(13 + -15h + 2h2) = 0

Factor a trinomial.
2((1 + -1h)(13 + -2h)) = 0

Ignore the factor 2.

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 '(13 + -2h)' equal to zero and attempt to solve: Simplifying 13 + -2h = 0 Solving 13 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2h = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2h = 0 + -13 -2h = 0 + -13 Combine like terms: 0 + -13 = -13 -2h = -13 Divide each side by '-2'. h = 6.5 Simplifying h = 6.5

Solution

h = {1, 6.5}

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