h(2h-3)=35

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Solution for h(2h-3)=35 equation:


Simplifying
h(2h + -3) = 35

Reorder the terms:
h(-3 + 2h) = 35
(-3 * h + 2h * h) = 35
(-3h + 2h2) = 35

Solving
-3h + 2h2 = 35

Solving for variable 'h'.

Reorder the terms:
-35 + -3h + 2h2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -3h + 2h2 = 0

Factor a trinomial.
(-7 + -2h)(5 + -1h) = 0

Subproblem 1

Set the factor '(-7 + -2h)' equal to zero and attempt to solve: Simplifying -7 + -2h = 0 Solving -7 + -2h = 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 + -2h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2h = 0 + 7 -2h = 0 + 7 Combine like terms: 0 + 7 = 7 -2h = 7 Divide each side by '-2'. h = -3.5 Simplifying h = -3.5

Subproblem 2

Set the factor '(5 + -1h)' equal to zero and attempt to solve: Simplifying 5 + -1h = 0 Solving 5 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1h = 0 + -5 -1h = 0 + -5 Combine like terms: 0 + -5 = -5 -1h = -5 Divide each side by '-1'. h = 5 Simplifying h = 5

Solution

h = {-3.5, 5}

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