(3h-10)(3h-4)=

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Solution for (3h-10)(3h-4)= equation:


Simplifying
(3h + -10)(3h + -4) = 0

Reorder the terms:
(-10 + 3h)(3h + -4) = 0

Reorder the terms:
(-10 + 3h)(-4 + 3h) = 0

Multiply (-10 + 3h) * (-4 + 3h)
(-10(-4 + 3h) + 3h * (-4 + 3h)) = 0
((-4 * -10 + 3h * -10) + 3h * (-4 + 3h)) = 0
((40 + -30h) + 3h * (-4 + 3h)) = 0
(40 + -30h + (-4 * 3h + 3h * 3h)) = 0
(40 + -30h + (-12h + 9h2)) = 0

Combine like terms: -30h + -12h = -42h
(40 + -42h + 9h2) = 0

Solving
40 + -42h + 9h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(4 + -3h)(10 + -3h) = 0

Subproblem 1

Set the factor '(4 + -3h)' equal to zero and attempt to solve: Simplifying 4 + -3h = 0 Solving 4 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3h = 0 + -4 -3h = 0 + -4 Combine like terms: 0 + -4 = -4 -3h = -4 Divide each side by '-3'. h = 1.333333333 Simplifying h = 1.333333333

Subproblem 2

Set the factor '(10 + -3h)' equal to zero and attempt to solve: Simplifying 10 + -3h = 0 Solving 10 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3h = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3h = 0 + -10 -3h = 0 + -10 Combine like terms: 0 + -10 = -10 -3h = -10 Divide each side by '-3'. h = 3.333333333 Simplifying h = 3.333333333

Solution

h = {1.333333333, 3.333333333}

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