Solve (7x+3)(x-9)

Question

Simplify the expression

7 x^{2} - 60 x - 27

Evaluate

(7 x + 3) (x - 9)

Apply the distributive property

7 x \times x - 7 x \times 9 + 3 x - 3 \times 9

Multiply the terms

7 x^{2} - 7 x \times 9 + 3 x - 3 \times 9

Multiply the numbers

7 x^{2} - 63 x + 3 x - 3 \times 9

Multiply the numbers

7 x^{2} - 63 x + 3 x - 27

Solution

More Steps

Evaluate

- 63 x + 3 x

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

(- 63 + 3) x

Add the numbers

- 60 x

7 x^{2} - 60 x - 27

Show Solution

x_{1} = - \frac{3}{7}, x_{2} = 9

Alternative Form

x_{1} = - 0. \dot{4} 2857 \dot{1}, x_{2} = 9

Evaluate

(7 x + 3) (x - 9)

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

(7 x + 3) (x - 9) = 0

Separate the equation into 2 possible cases

7 x + 3 = 0 x - 9 = 0

Solve the equation

More Steps

Evaluate

7 x + 3 = 0

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

7 x = 0 - 3

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

7 x = - 3

Divide both sides

\frac{7 x}{7} = \frac{- 3}{7}

Divide the numbers

x = \frac{- 3}{7}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{3}{7}

x = - \frac{3}{7} x - 9 = 0

Solve the equation

More Steps

Evaluate

x - 9 = 0

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

x = 0 + 9

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

x = 9

x = - \frac{3}{7} x = 9

Solution

x_{1} = - \frac{3}{7}, x_{2} = 9

Alternative Form

x_{1} = - 0. \dot{4} 2857 \dot{1}, x_{2} = 9

Show Solution