Вопрос
Simplify the expression
14b2−19b+6
Evaluate
(7b−6)(2b−1)
Apply the distributive property
7b×2b−7b×1−6×2b−(−6×1)
Multiply the terms
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Evaluate
7b×2b
Multiply the numbers
14b×b
Multiply the terms
14b2
14b2−7b×1−6×2b−(−6×1)
Any expression multiplied by 1 remains the same
14b2−7b−6×2b−(−6×1)
Multiply the numbers
14b2−7b−12b−(−6×1)
Any expression multiplied by 1 remains the same
14b2−7b−12b−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
14b2−7b−12b+6
Решение
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Evaluate
−7b−12b
Collect like terms by calculating the sum or difference of their coefficients
(−7−12)b
Subtract the numbers
−19b
14b2−19b+6
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Find the roots
b1=21,b2=76
Alternative Form
b1=0.5,b2=0.8˙57142˙
Evaluate
(7b−6)(2b−1)
To find the roots of the expression,set the expression equal to 0
(7b−6)(2b−1)=0
Separate the equation into 2 possible cases
7b−6=02b−1=0
Solve the equation
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Evaluate
7b−6=0
Move the constant to the right-hand side and change its sign
7b=0+6
Removing 0 doesn't change the value,so remove it from the expression
7b=6
Divide both sides
77b=76
Divide the numbers
b=76
b=762b−1=0
Solve the equation
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Evaluate
2b−1=0
Move the constant to the right-hand side and change its sign
2b=0+1
Removing 0 doesn't change the value,so remove it from the expression
2b=1
Divide both sides
22b=21
Divide the numbers
b=21
b=76b=21
Решение
b1=21,b2=76
Alternative Form
b1=0.5,b2=0.8˙57142˙
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