Solve x1=2x^2 - ScanMath

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Type your math problem... x1=2x^2

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

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

Alternative Form

x_{1} = 0, x_{2} = 0.5

Evaluate

x \times 1 = 2 x^{2}

Any expression multiplied by 1 remains the same

x = 2 x^{2}

Swap the sides

2 x^{2} = x

Move the expression to the left side

2 x^{2} - x = 0

Factor the expression

More Steps

Evaluate

2 x^{2} - x

Rewrite the expression

x \times 2 x - x

Factor out x from the expression

x (2 x - 1)

x (2 x - 1) = 0

When the product of factors equals 0,at least one factor is 0

2 x - 1 = 0 x = 0

Solve the equation for x

More Steps

Evaluate

2 x - 1 = 0

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

2 x = 0 + 1

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

2 x = 1

Divide both sides

\frac{2 x}{2} = \frac{1}{2}

Divide the numbers

x = \frac{1}{2}

x = \frac{1}{2} x = 0

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 0.5

Show Solution

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