Question
Solve the quadratic equation
Solve by factoring
Solve using the quadratic formula
Solve by completing the square
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x1=71,x2=3
Alternative Form
x1=0.1˙42857˙,x2=3
Evaluate
(7x−8)(x−2)=13
Expand the expression
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Evaluate
(7x−8)(x−2)
Apply the distributive property
7x×x−7x×2−8x−(−8×2)
Multiply the terms
7x2−7x×2−8x−(−8×2)
Multiply the numbers
7x2−14x−8x−(−8×2)
Multiply the numbers
7x2−14x−8x−(−16)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7x2−14x−8x+16
Subtract the terms
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Evaluate
−14x−8x
Collect like terms by calculating the sum or difference of their coefficients
(−14−8)x
Subtract the numbers
−22x
7x2−22x+16
7x2−22x+16=13
Move the expression to the left side
7x2−22x+3=0
Factor the expression
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Evaluate
7x2−22x+3
Rewrite the expression
7x2+(−1−21)x+3
Calculate
7x2−x−21x+3
Rewrite the expression
x×7x−x−3×7x+3
Factor out x from the expression
x(7x−1)−3×7x+3
Factor out −3 from the expression
x(7x−1)−3(7x−1)
Factor out 7x−1 from the expression
(x−3)(7x−1)
(x−3)(7x−1)=0
When the product of factors equals 0,at least one factor is 0
x−3=07x−1=0
Solve the equation for x
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Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=37x−1=0
Solve the equation for x
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Evaluate
7x−1=0
Move the constant to the right-hand side and change its sign
7x=0+1
Removing 0 doesn't change the value,so remove it from the expression
7x=1
Divide both sides
77x=71
Divide the numbers
x=71
x=3x=71
Solution
x1=71,x2=3
Alternative Form
x1=0.1˙42857˙,x2=3
Show Solution
