Solve |x 1| |x-1|=0 - ScanMath

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Type your math problem... |x 1| |x-1|=0

x

Question

Solve the equation

x_{1} = 0, x_{2} = 1

Evaluate

∣ x \times 1 ∣ ∣ x - 1 ∣ = 0

Simplify

More Steps

Evaluate

∣ x \times 1 ∣ ∣ x - 1 ∣

Any expression multiplied by 1 remains the same

∣ x ∣ ∣ x - 1 ∣

Multiply the terms

∣ x (x - 1) ∣

∣ x (x - 1) ∣ = 0

Rewrite the expression

x (x - 1) = 0

Separate the equation into 2 possible cases

x = 0 x - 1 = 0

Solve the equation

More Steps

Evaluate

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x = 0 x = 1

Solution

x_{1} = 0, x_{2} = 1

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