Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=0
Evaluate
∣x∣2−∣x∣×4=2x2−3∣x∣×1
Simplify
More Steps
Evaluate
∣x∣2−∣x∣×4
Evaluate the power
x2−∣x∣×4
Multiply the terms
x2−4∣x∣
x2−4∣x∣=2x2−3∣x∣×1
Multiply the terms
x2−4∣x∣=2x2−3∣x∣
Move the expression to the left side
x2−4∣x∣−(2x2−3∣x∣)=0
Subtract the terms
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Evaluate
x2−4∣x∣−(2x2−3∣x∣)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−4∣x∣−2x2+3∣x∣
Subtract the terms
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Evaluate
x2−2x2
Collect like terms by calculating the sum or difference of their coefficients
(1−2)x2
Subtract the numbers
−x2
−x2−4∣x∣+3∣x∣
Add the terms
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Evaluate
−4∣x∣+3∣x∣
Collect like terms by calculating the sum or difference of their coefficients
(−4+3)∣x∣
Add the numbers
−∣x∣
−x2−∣x∣
−x2−∣x∣=0
The statement is true only the each term equals to 0
{−x2=0−∣x∣=0
Calculate
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Evaluate
−x2=0
Change the signs on both sides of the equation
x2=0
The only way a power can be 0 is when the base equals 0
x=0
{x=0−∣x∣=0
Calculate
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Evaluate
−∣x∣=0
Calculate
∣x∣=0
Evaluate
x=0
{x=0x=0
Solution
x=0
Show Solution
Graph
