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Simplifying
h(0) = -16t2(1) + 28(1) + 5
Reorder the terms for easier multiplication:
0h = -16t2(1) + 28(1) + 5
Anything times zero is zero.
0h = -16t2(1) + 28(1) + 5
Reorder the terms for easier multiplication:
0 = -16 * 1t2 + 28(1) + 5
Multiply -16 * 1
0 = -16t2 + 28(1) + 5
Multiply 28 * 1
0 = -16t2 + 28 + 5
Reorder the terms:
0 = 28 + 5 + -16t2
Combine like terms: 28 + 5 = 33
0 = 33 + -16t2
Solving
0 = 33 + -16t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '16t2' to each side of the equation.
0 + 16t2 = 33 + -16t2 + 16t2
Remove the zero:
16t2 = 33 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
16t2 = 33 + 0
16t2 = 33
Divide each side by '16'.
t2 = 2.0625
Simplifying
t2 = 2.0625
Take the square root of each side:
t = {-1.436140662, 1.436140662}
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