Solve 2x^2-3x^2-12x

Question

Simplify the expression

- x^{2} - 12 x

Evaluate

2 x^{2} - 3 x^{2} - 12 x

Solution

More Steps

Evaluate

2 x^{2} - 3 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(2 - 3) x^{2}

Subtract the numbers

- x^{2}

- x^{2} - 12 x

Show Solution

- x (x + 12)

Evaluate

2 x^{2} - 3 x^{2} - 12 x

Subtract the terms

More Steps

Evaluate

2 x^{2} - 3 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(2 - 3) x^{2}

Subtract the numbers

- x^{2}

- x^{2} - 12 x

Rewrite the expression

- x \times x - x \times 12

Solution

- x (x + 12)

Show Solution

x_{1} = - 12, x_{2} = 0

Evaluate

2 x^{2} - 3 x^{2} - 12 x

To find the roots of the expression,set the expression equal to 0

2 x^{2} - 3 x^{2} - 12 x = 0

Subtract the terms

More Steps

Simplify

2 x^{2} - 3 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(2 - 3) x^{2}

Subtract the numbers

- x^{2}

- x^{2} - 12 x = 0

Factor the expression

More Steps

Evaluate

- x^{2} - 12 x

Rewrite the expression

- x \times x - x \times 12

Factor out - x from the expression

- x (x + 12)

- x (x + 12) = 0

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

- x = 0 x + 12 = 0

Solve the equation for x

x = 0 x + 12 = 0

Solve the equation for x

More Steps

Evaluate

x + 12 = 0

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

x = 0 - 12

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

x = - 12

x = 0 x = - 12

Solution

x_{1} = - 12, x_{2} = 0

Show Solution