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Question
-2.5\left(5.7-x\right)=0
Solve the equation
x=\frac{57}{10}
Alternative Form
x=5.7
Evaluate
-2.5\left(5.7-x\right)=0
Multiply the terms
More Steps
Evaluate
-2.5\left(5.7-x\right)
Apply the distributive property
-2.5\times 5.7-\left(-2.5x\right)
Multiply the numbers
-14.25-\left(-2.5x\right)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
-14.25+2.5x
-14.25+2.5x=0
Move the constant to the right-hand side and change its sign
2.5x=0+14.25
Removing 0 doesn't change the value,so remove it from the expression
2.5x=14.25
Divide both sides
\frac{2.5x}{2.5}=\frac{14.25}{2.5}
Divide the numbers
x=\frac{14.25}{2.5}
Solution
More Steps
Evaluate
\frac{14.25}{2.5}
Convert the decimal into a fraction
More Steps
Evaluate
14.25
Convert the decimal into a fraction
\frac{1425}{100}
Reduce the fraction
\frac{57}{4}
\frac{\frac{57}{4}}{2.5}
Convert the decimal into a fraction
More Steps
Evaluate
2.5
Convert the decimal into a fraction
\frac{25}{10}
Reduce the fraction
\frac{5}{2}
\frac{\frac{57}{4}}{\frac{5}{2}}
Multiply by the reciprocal
\frac{57}{4}\times \frac{2}{5}
Reduce the numbers
\frac{57}{2}\times \frac{1}{5}
To multiply the fractions,multiply the numerators and denominators separately
\frac{57}{2\times 5}
Multiply the numbers
\frac{57}{10}
x=\frac{57}{10}
Alternative Form
x=5.7
Show Solutions
Rewrite the equation
10x=57
Evaluate
-2.5\left(5.7-x\right)=0
Evaluate
More Steps
Evaluate
-2.5\left(5.7-x\right)
Apply the distributive property
-2.5\times 5.7-\left(-2.5x\right)
Multiply the numbers
-14.25-\left(-2.5x\right)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
-14.25+2.5x
-14.25+2.5x=0
Convert the decimal into a fraction
More Steps
Evaluate
-14.25+2.5x
Convert the expressions
More Steps
Evaluate
14.25
Convert the decimal into a fraction
\frac{1425}{100}
Reduce the fraction
\frac{57}{4}
-\frac{57}{4}+2.5x
Convert the expressions
More Steps
Evaluate
2.5
Convert the decimal into a fraction
\frac{25}{10}
Reduce the fraction
\frac{5}{2}
-\frac{57}{4}+\frac{5}{2}x
-\frac{57}{4}+\frac{5}{2}x=0
Multiply both sides of the equation by LCD
-57+10x=0
Solution
10x=57
Show Solutions
Graph
