Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
b1=−5,b2=9
Evaluate
−4∣b−2∣−9=−37
Move the expression to the left side
−4∣b−2∣−9−(−37)=0
Subtract the numbers
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Evaluate
−9−(−37)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−9+37
Add the numbers
28
−4∣b−2∣+28=0
Separate the equation into 2 possible cases
−4(b−2)+28=0,b−2≥0−4(−(b−2))+28=0,b−2<0
Solve the equation
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Evaluate
−4(b−2)+28=0
Calculate
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Evaluate
−4(b−2)+28
Expand the expression
−4b+8+28
Add the numbers
−4b+36
−4b+36=0
Move the constant to the right-hand side and change its sign
−4b=0−36
Removing 0 doesn't change the value,so remove it from the expression
−4b=−36
Change the signs on both sides of the equation
4b=36
Divide both sides
44b=436
Divide the numbers
b=436
Divide the numbers
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Evaluate
436
Reduce the numbers
19
Calculate
9
b=9
b=9,b−2≥0−4(−(b−2))+28=0,b−2<0
Solve the inequality
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Evaluate
b−2≥0
Move the constant to the right side
b≥0+2
Removing 0 doesn't change the value,so remove it from the expression
b≥2
b=9,b≥2−4(−(b−2))+28=0,b−2<0
Solve the equation
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Evaluate
−4(−(b−2))+28=0
Calculate
−4(−b+2)+28=0
Calculate
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Evaluate
−4(−b+2)+28
Expand the expression
4b−8+28
Add the numbers
4b+20
4b+20=0
Move the constant to the right-hand side and change its sign
4b=0−20
Removing 0 doesn't change the value,so remove it from the expression
4b=−20
Divide both sides
44b=4−20
Divide the numbers
b=4−20
Divide the numbers
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Evaluate
4−20
Reduce the numbers
1−5
Calculate
−5
b=−5
b=9,b≥2b=−5,b−2<0
Solve the inequality
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Evaluate
b−2<0
Move the constant to the right side
b<0+2
Removing 0 doesn't change the value,so remove it from the expression
b<2
b=9,b≥2b=−5,b<2
Find the intersection
b=9b=−5,b<2
Find the intersection
b=9b=−5
Solution
b1=−5,b2=9
Show Solution
Graph
