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Simplifying
(7h + 3)(7h + -3) = 0
Reorder the terms:
(3 + 7h)(7h + -3) = 0
Reorder the terms:
(3 + 7h)(-3 + 7h) = 0
Multiply (3 + 7h) * (-3 + 7h)
(3(-3 + 7h) + 7h * (-3 + 7h)) = 0
((-3 * 3 + 7h * 3) + 7h * (-3 + 7h)) = 0
((-9 + 21h) + 7h * (-3 + 7h)) = 0
(-9 + 21h + (-3 * 7h + 7h * 7h)) = 0
(-9 + 21h + (-21h + 49h2)) = 0
Combine like terms: 21h + -21h = 0
(-9 + 0 + 49h2) = 0
(-9 + 49h2) = 0
Solving
-9 + 49h2 = 0
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 49h2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 49h2 = 0 + 9
49h2 = 0 + 9
Combine like terms: 0 + 9 = 9
49h2 = 9
Divide each side by '49'.
h2 = 0.1836734694
Simplifying
h2 = 0.1836734694
Take the square root of each side:
h = {-0.428571429, 0.428571429}
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