Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=21−57,x2=21+57
Alternative Form
x1≈−3.274917,x2≈4.274917
Evaluate
17−3x=(x−3)(x−1)
Swap the sides
(x−3)(x−1)=17−3x
Expand the expression
More Steps

Evaluate
(x−3)(x−1)
Apply the distributive property
x×x−x×1−3x−(−3×1)
Multiply the terms
x2−x×1−3x−(−3×1)
Any expression multiplied by 1 remains the same
x2−x−3x−(−3×1)
Any expression multiplied by 1 remains the same
x2−x−3x−(−3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−x−3x+3
Subtract the terms
More Steps

Evaluate
−x−3x
Collect like terms by calculating the sum or difference of their coefficients
(−1−3)x
Subtract the numbers
−4x
x2−4x+3
x2−4x+3=17−3x
Move the expression to the left side
x2−x−14=0
Substitute a=1,b=−1 and c=−14 into the quadratic formula x=2a−b±b2−4ac
x=21±(−1)2−4(−14)
Simplify the expression
More Steps

Evaluate
(−1)2−4(−14)
Evaluate the power
1−4(−14)
Multiply the numbers
More Steps

Evaluate
4(−14)
Multiplying or dividing an odd number of negative terms equals a negative
−4×14
Multiply the numbers
−56
1−(−56)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+56
Add the numbers
57
x=21±57
Separate the equation into 2 possible cases
x=21+57x=21−57
Solution
x1=21−57,x2=21+57
Alternative Form
x1≈−3.274917,x2≈4.274917
Show Solution
