(6h-7)(3h+9)=0

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Solution for (6h-7)(3h+9)=0 equation:


Simplifying
(6h + -7)(3h + 9) = 0

Reorder the terms:
(-7 + 6h)(3h + 9) = 0

Reorder the terms:
(-7 + 6h)(9 + 3h) = 0

Multiply (-7 + 6h) * (9 + 3h)
(-7(9 + 3h) + 6h * (9 + 3h)) = 0
((9 * -7 + 3h * -7) + 6h * (9 + 3h)) = 0
((-63 + -21h) + 6h * (9 + 3h)) = 0
(-63 + -21h + (9 * 6h + 3h * 6h)) = 0
(-63 + -21h + (54h + 18h2)) = 0

Combine like terms: -21h + 54h = 33h
(-63 + 33h + 18h2) = 0

Solving
-63 + 33h + 18h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + 11h + 6h2) = 0

Factor a trinomial.
3((-3 + -1h)(7 + -6h)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -1h)' equal to zero and attempt to solve: Simplifying -3 + -1h = 0 Solving -3 + -1h = 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 + -1h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1h = 0 + 3 -1h = 0 + 3 Combine like terms: 0 + 3 = 3 -1h = 3 Divide each side by '-1'. h = -3 Simplifying h = -3

Subproblem 2

Set the factor '(7 + -6h)' equal to zero and attempt to solve: Simplifying 7 + -6h = 0 Solving 7 + -6h = 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 + -6h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6h = 0 + -7 -6h = 0 + -7 Combine like terms: 0 + -7 = -7 -6h = -7 Divide each side by '-6'. h = 1.166666667 Simplifying h = 1.166666667

Solution

h = {-3, 1.166666667}

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