Solve for: (x+7) * (3x+8)

Expression: $\left( x+7 \right) \times \left( 3x+8 \right)$

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

$x \times 3x+8x+7 \times 3x+7 \times 8$

Calculate the product

$3{x}^{2}+8x+7 \times 3x+7 \times 8$

Calculate the product

$3{x}^{2}+8x+21x+7 \times 8$

Multiply the numbers

$3{x}^{2}+8x+21x+56$

Collect like terms

$3{x}^{2}+29x+56$