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

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


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

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

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

Multiply (-4 + -3h) * (-3 + 4h)
(-4(-3 + 4h) + -3h * (-3 + 4h)) = 0
((-3 * -4 + 4h * -4) + -3h * (-3 + 4h)) = 0
((12 + -16h) + -3h * (-3 + 4h)) = 0
(12 + -16h + (-3 * -3h + 4h * -3h)) = 0
(12 + -16h + (9h + -12h2)) = 0

Combine like terms: -16h + 9h = -7h
(12 + -7h + -12h2) = 0

Solving
12 + -7h + -12h2 = 0

Solving for variable 'h'.

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

Subproblem 1

Set the factor '(3 + -4h)' equal to zero and attempt to solve: Simplifying 3 + -4h = 0 Solving 3 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4h = 0 + -3 -4h = 0 + -3 Combine like terms: 0 + -3 = -3 -4h = -3 Divide each side by '-4'. h = 0.75 Simplifying h = 0.75

Subproblem 2

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

Solution

h = {0.75, -1.333333333}

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