Question
Simplify the expression
−47x+144
Evaluate
x−3(x−3)×16
Multiply the terms
x−48(x−3)
Expand the expression
More Steps

Calculate
−48(x−3)
Apply the distributive property
−48x−(−48×3)
Multiply the numbers
−48x−(−144)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−48x+144
x−48x+144
Solution
More Steps

Evaluate
x−48x
Collect like terms by calculating the sum or difference of their coefficients
(1−48)x
Subtract the numbers
−47x
−47x+144
Show Solution

Find the roots
x=47144
Alternative Form
x≈3.06383
Evaluate
x−3(x−3)×16
To find the roots of the expression,set the expression equal to 0
x−3(x−3)×16=0
Multiply the terms
x−48(x−3)=0
Calculate
More Steps

Evaluate
x−48(x−3)
Expand the expression
More Steps

Calculate
−48(x−3)
Apply the distributive property
−48x−(−48×3)
Multiply the numbers
−48x−(−144)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−48x+144
x−48x+144
Subtract the terms
More Steps

Evaluate
x−48x
Collect like terms by calculating the sum or difference of their coefficients
(1−48)x
Subtract the numbers
−47x
−47x+144
−47x+144=0
Move the constant to the right-hand side and change its sign
−47x=0−144
Removing 0 doesn't change the value,so remove it from the expression
−47x=−144
Change the signs on both sides of the equation
47x=144
Divide both sides
4747x=47144
Solution
x=47144
Alternative Form
x≈3.06383
Show Solution
