Solve (4x+3)(x+1)

Question

Simplify the expression

4 x^{2} + 7 x + 3

Evaluate

(4 x + 3) (x + 1)

Apply the distributive property

4 x \times x + 4 x \times 1 + 3 x + 3 \times 1

Multiply the terms

4 x^{2} + 4 x \times 1 + 3 x + 3 \times 1

Any expression multiplied by 1 remains the same

4 x^{2} + 4 x + 3 x + 3 \times 1

Any expression multiplied by 1 remains the same

4 x^{2} + 4 x + 3 x + 3

Solution

More Steps

Evaluate

4 x + 3 x

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

(4 + 3) x

Add the numbers

7 x

4 x^{2} + 7 x + 3

Show Solution

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

Alternative Form

x_{1} = - 1, x_{2} = - 0.75

Evaluate

(4 x + 3) (x + 1)

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

(4 x + 3) (x + 1) = 0

Separate the equation into 2 possible cases

4 x + 3 = 0 x + 1 = 0

Solve the equation

More Steps

Evaluate

4 x + 3 = 0

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

4 x = 0 - 3

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

4 x = - 3

Divide both sides

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

Divide the numbers

x = \frac{- 3}{4}

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

x = - \frac{3}{4}

x = - \frac{3}{4} x + 1 = 0

Solve the equation

More Steps

Evaluate

x + 1 = 0

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

x = 0 - 1

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

x = - 1

x = - \frac{3}{4} x = - 1

Solution

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

Alternative Form

x_{1} = - 1, x_{2} = - 0.75

Show Solution