Solve for t h=-16t^2+1053

Math
h=-16t2+1053
Rewrite the equation as -16t2+1053=h.
-16t2+1053=h
Subtract 1053 from both sides of the equation.
-16t2=h-1053
Divide each term by -16 and simplify.
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Divide each term in -16t2=h-1053 by -16.
-16t2-16=h-16+-1053-16
Cancel the common factor of -16.
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Cancel the common factor.
-16t2-16=h-16+-1053-16
Divide t2 by 1.
t2=h-16+-1053-16
t2=h-16+-1053-16
Simplify each term.
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Move the negative in front of the fraction.
t2=-h16+-1053-16
Dividing two negative values results in a positive value.
t2=-h16+105316
t2=-h16+105316
t2=-h16+105316
Take the square root of both sides of the equation to eliminate the exponent on the left side.
t=±-h16+105316
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Combine the numerators over the common denominator.
t=±-h+105316
Rewrite -h+105316 as (14)2(-h+1053).
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Factor the perfect power 12 out of -h+1053.
t=±12(-h+1053)16
Factor the perfect power 42 out of 16.
t=±12(-h+1053)42⋅1
Rearrange the fraction 12(-h+1053)42⋅1.
t=±(14)2(-h+1053)
t=±(14)2(-h+1053)
Pull terms out from under the radical.
t=±14⋅-h+1053
Combine 14 and -h+1053.
t=±-h+10534
t=±-h+10534
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
t=-h+10534
Next, use the negative value of the ± to find the second solution.
t=–h+10534
The complete solution is the result of both the positive and negative portions of the solution.
t=-h+10534
t=–h+10534
t=-h+10534
t=–h+10534
t=-h+10534
t=–h+10534
Solve for t h=-16t^2+1053

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