Solve x1-8x^2=0 - ScanMath

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Type your math problem... x1-8x^2=0

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}{8}

Alternative Form

x_{1} = 0, x_{2} = 0.125

Evaluate

x \times 1 - 8 x^{2} = 0

Any expression multiplied by 1 remains the same

x - 8 x^{2} = 0

Factor the expression

More Steps

Evaluate

x - 8 x^{2}

Rewrite the expression

x - x \times 8 x

Factor out x from the expression

x (1 - 8 x)

x (1 - 8 x) = 0

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

1 - 8 x = 0 x = 0

Solve the equation for x

More Steps

Evaluate

1 - 8 x = 0

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

- 8 x = 0 - 1

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

- 8 x = - 1

Change the signs on both sides of the equation

8 x = 1

Divide both sides

\frac{8 x}{8} = \frac{1}{8}

Divide the numbers

x = \frac{1}{8}

x = \frac{1}{8} x = 0

Solution

x_{1} = 0, x_{2} = \frac{1}{8}

Alternative Form

x_{1} = 0, x_{2} = 0.125

Show Solution

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