Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−5,x2=5
Evaluate
4x2−8=12
Calculate
4∣x∣−8=12
Move the expression to the left side
4∣x∣−8−12=0
Subtract the numbers
4∣x∣−20=0
Separate the equation into 2 possible cases
4x−20=0,x≥04(−x)−20=0,x<0
Solve the equation
More Steps
Evaluate
4x−20=0
Move the constant to the right-hand side and change its sign
4x=0+20
Removing 0 doesn't change the value,so remove it from the expression
4x=20
Divide both sides
44x=420
Divide the numbers
x=420
Divide the numbers
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Evaluate
420
Reduce the numbers
15
Calculate
5
x=5
x=5,x≥04(−x)−20=0,x<0
Solve the equation
More Steps
Evaluate
4(−x)−20=0
Calculate
−4x−20=0
Move the constant to the right-hand side and change its sign
−4x=0+20
Removing 0 doesn't change the value,so remove it from the expression
−4x=20
Change the signs on both sides of the equation
4x=−20
Divide both sides
44x=4−20
Divide the numbers
x=4−20
Divide the numbers
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Evaluate
4−20
Reduce the numbers
1−5
Calculate
−5
x=−5
x=5,x≥0x=−5,x<0
Find the intersection
x=5x=−5,x<0
Find the intersection
x=5x=−5
Check the solution
More Steps
Check the solution
452−8=12
Simplify
12=12
Evaluate
true
x=5x=−5
Check the solution
More Steps
Check the solution
4(−5)2−8=12
Simplify
12=12
Evaluate
true
x=5x=−5
Solution
x1=−5,x2=5
Show Solution
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