Solve -7x 1-2x^2=x-3x^2

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Example problems

Type your math problem... -7x 1-2x^2=x-3x^2

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

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

Evaluate

- 7 x \times 1 - 2 x^{2} = x - 3 x^{2}

Multiply the terms

- 7 x - 2 x^{2} = x - 3 x^{2}

Move the expression to the left side

- 8 x + x^{2} = 0

Factor the expression

More Steps

Evaluate

- 8 x + x^{2}

Rewrite the expression

- x \times 8 + x \times x

Factor out - x from the expression

- x (8 - x)

- x (8 - x) = 0

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

8 - x = 0 - x = 0

Solve the equation for x

More Steps

Evaluate

8 - x = 0

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

- x = 0 - 8

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

- x = - 8

Change the signs on both sides of the equation

x = 8

x = 8 - x = 0

Solve the equation for x

x = 8 x = 0

Solution

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

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