Solve 4x^2-143x 1-268x 12

Question

Simplify the expression

4 x^{2} - 3359 x

Evaluate

4 x^{2} - 143 x \times 1 - 268 x \times 12

Multiply the terms

4 x^{2} - 143 x - 268 x \times 12

Multiply the terms

4 x^{2} - 143 x - 3216 x

Solution

More Steps

Evaluate

- 143 x - 3216 x

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

(- 143 - 3216) x

Subtract the numbers

- 3359 x

4 x^{2} - 3359 x

Show Solution

Factor the expression

x (4 x - 3359)

Evaluate

4 x^{2} - 143 x \times 1 - 268 x \times 12

Multiply the terms

4 x^{2} - 143 x - 268 x \times 12

Multiply the terms

4 x^{2} - 143 x - 3216 x

Subtract the terms

More Steps

Evaluate

- 143 x - 3216 x

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

(- 143 - 3216) x

Subtract the numbers

- 3359 x

4 x^{2} - 3359 x

Rewrite the expression

x \times 4 x - x \times 3359

Solution

x (4 x - 3359)

Show Solution

Find the roots

x_{1} = 0, x_{2} = \frac{3359}{4}

Alternative Form

x_{1} = 0, x_{2} = 839.75

Evaluate

4 x^{2} - 143 x \times 1 - 268 x \times 12

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

4 x^{2} - 143 x \times 1 - 268 x \times 12 = 0

Multiply the terms

4 x^{2} - 143 x - 268 x \times 12 = 0

Multiply the terms

4 x^{2} - 143 x - 3216 x = 0

Subtract the terms

More Steps

Simplify

4 x^{2} - 143 x - 3216 x

Subtract the terms

More Steps

Evaluate

- 143 x - 3216 x

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

(- 143 - 3216) x

Subtract the numbers

- 3359 x

4 x^{2} - 3359 x

4 x^{2} - 3359 x = 0

Factor the expression

More Steps

Evaluate

4 x^{2} - 3359 x

Rewrite the expression

x \times 4 x - x \times 3359

Factor out x from the expression

x (4 x - 3359)

x (4 x - 3359) = 0

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

x = 0 4 x - 3359 = 0

Solve the equation for x

More Steps

Evaluate

4 x - 3359 = 0

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

4 x = 0 + 3359

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

4 x = 3359

Divide both sides

\frac{4 x}{4} = \frac{3359}{4}

Divide the numbers

x = \frac{3359}{4}

x = 0 x = \frac{3359}{4}

Solution

x_{1} = 0, x_{2} = \frac{3359}{4}

Alternative Form

x_{1} = 0, x_{2} = 839.75

Show Solution