Basic Math Examples

Solve for t h(t)=-4.9t^2+5t+9
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Subtract from both sides of the equation.
Step 3
Use the quadratic formula to find the solutions.
Step 4
Substitute the values , , and into the quadratic formula and solve for .
Step 5
Simplify.
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Apply the distributive property.
Step 5.1.2
Multiply by .
Step 5.1.3
Multiply .
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Step 5.1.3.1
Multiply by .
Step 5.1.3.2
Multiply by .
Step 5.1.4
Rewrite as .
Step 5.1.5
Expand using the FOIL Method.
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Step 5.1.5.1
Apply the distributive property.
Step 5.1.5.2
Apply the distributive property.
Step 5.1.5.3
Apply the distributive property.
Step 5.1.6
Simplify and combine like terms.
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Step 5.1.6.1
Simplify each term.
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Step 5.1.6.1.1
Multiply by .
Step 5.1.6.1.2
Multiply by .
Step 5.1.6.1.3
Multiply by .
Step 5.1.6.1.4
Rewrite using the commutative property of multiplication.
Step 5.1.6.1.5
Multiply by by adding the exponents.
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Step 5.1.6.1.5.1
Move .
Step 5.1.6.1.5.2
Multiply by .
Step 5.1.6.1.6
Multiply by .
Step 5.1.6.1.7
Multiply by .
Step 5.1.6.2
Subtract from .
Step 5.1.7
Multiply .
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Step 5.1.7.1
Multiply by .
Step 5.1.7.2
Multiply by .
Step 5.1.8
Add and .
Step 5.1.9
Reorder terms.
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 6
The final answer is the combination of both solutions.