Question
Simplify the expression
22554543825−3t
Evaluate
2025−10−20t×9÷22÷205÷30
Multiply the terms
2025−10−180t÷22÷205÷30
Divide the terms
More Steps

Evaluate
180t÷22
Rewrite the expression
22180t
Cancel out the common factor 2
1190t
2025−10−1190t÷205÷30
Divide the terms
More Steps

Evaluate
1190t÷205
Multiply by the reciprocal
1190t×2051
Cancel out the common factor 5
1118t×411
Multiply the terms
11×4118t
Multiply the terms
45118t
2025−10−45118t÷30
Divide the terms
More Steps

Evaluate
45118t÷30
Multiply by the reciprocal
45118t×301
Cancel out the common factor 6
4513t×51
Multiply the terms
451×53t
Multiply the terms
22553t
2025−10−22553t
Subtract the numbers
2015−22553t
Reduce fractions to a common denominator
22552015×2255−22553t
Write all numerators above the common denominator
22552015×2255−3t
Solution
22554543825−3t
Show Solution

Find the roots
t=34543825
Alternative Form
t=1514608.3˙
Evaluate
2025−10−20t×9÷22÷205÷30
To find the roots of the expression,set the expression equal to 0
2025−10−20t×9÷22÷205÷30=0
Multiply the terms
2025−10−180t÷22÷205÷30=0
Divide the terms
More Steps

Evaluate
180t÷22
Rewrite the expression
22180t
Cancel out the common factor 2
1190t
2025−10−1190t÷205÷30=0
Divide the terms
More Steps

Evaluate
1190t÷205
Multiply by the reciprocal
1190t×2051
Cancel out the common factor 5
1118t×411
Multiply the terms
11×4118t
Multiply the terms
45118t
2025−10−45118t÷30=0
Divide the terms
More Steps

Evaluate
45118t÷30
Multiply by the reciprocal
45118t×301
Cancel out the common factor 6
4513t×51
Multiply the terms
451×53t
Multiply the terms
22553t
2025−10−22553t=0
Subtract the numbers
2015−22553t=0
Subtract the terms
More Steps

Simplify
2015−22553t
Reduce fractions to a common denominator
22552015×2255−22553t
Write all numerators above the common denominator
22552015×2255−3t
Multiply the numbers
22554543825−3t
22554543825−3t=0
Simplify
4543825−3t=0
Move the constant to the right side
−3t=0−4543825
Removing 0 doesn't change the value,so remove it from the expression
−3t=−4543825
Change the signs on both sides of the equation
3t=4543825
Divide both sides
33t=34543825
Solution
t=34543825
Alternative Form
t=1514608.3˙
Show Solution
