Solve (4x - 11)(3x - 4)

Question

Simplify the expression

12 x^{2} - 49 x + 44

Evaluate

(4 x - 11) (3 x - 4)

Apply the distributive property

4 x \times 3 x - 4 x \times 4 - 11 \times 3 x - (- 11 \times 4)

Multiply the terms

More Steps

Evaluate

4 x \times 3 x

Multiply the numbers

12 x \times x

Multiply the terms

12 x^{2}

12 x^{2} - 4 x \times 4 - 11 \times 3 x - (- 11 \times 4)

Multiply the numbers

12 x^{2} - 16 x - 11 \times 3 x - (- 11 \times 4)

Multiply the numbers

12 x^{2} - 16 x - 33 x - (- 11 \times 4)

Multiply the numbers

12 x^{2} - 16 x - 33 x - (- 44)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

12 x^{2} - 16 x - 33 x + 44

Solution

More Steps

Evaluate

- 16 x - 33 x

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

(- 16 - 33) x

Subtract the numbers

- 49 x

12 x^{2} - 49 x + 44

Show Solution

Find the roots

x_{1} = \frac{4}{3}, x_{2} = \frac{11}{4}

Alternative Form

x_{1} = 1. \dot{3}, x_{2} = 2.75

Evaluate

(4 x - 11) (3 x - 4)

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

(4 x - 11) (3 x - 4) = 0

Separate the equation into 2 possible cases

4 x - 11 = 0 3 x - 4 = 0

Solve the equation

More Steps

Evaluate

4 x - 11 = 0

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

4 x = 0 + 11

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

4 x = 11

Divide both sides

\frac{4 x}{4} = \frac{11}{4}

Divide the numbers

x = \frac{11}{4}

x = \frac{11}{4} 3 x - 4 = 0

Solve the equation

More Steps

Evaluate

3 x - 4 = 0

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

3 x = 0 + 4

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

3 x = 4

Divide both sides

\frac{3 x}{3} = \frac{4}{3}

Divide the numbers

x = \frac{4}{3}

x = \frac{11}{4} x = \frac{4}{3}

Solution

x_{1} = \frac{4}{3}, x_{2} = \frac{11}{4}

Alternative Form

x_{1} = 1. \dot{3}, x_{2} = 2.75

Show Solution