Solve (6x)+(7x)(6x)+6(7x)+x(7x)

$$( 6 x ) + ( 7 x ) ( 6 x ) + 6 ( 7 x ) + x ( 7 x )$$

Evaluate

$$x\left(49x+48\right)$$

Solution Steps

Multiply x and x to get x^{2}.

$$6x+7x^{2}\times 6+6\times 7x+x\times 7x$$

Multiply x and x to get x^{2}.

$$6x+7x^{2}\times 6+6\times 7x+x^{2}\times 7$$

Multiply 7 and 6 to get 42.

$$6x+42x^{2}+6\times 7x+x^{2}\times 7$$

Multiply 6 and 7 to get 42.

$$6x+42x^{2}+42x+x^{2}\times 7$$

Combine 6x and 42x to get 48x.

$$48x+42x^{2}+x^{2}\times 7$$

Combine 42x^{2} and x^{2}\times 7 to get 49x^{2}.

$$48x+49x^{2}$$

Factor

$$x\left(49x+48\right)$$

Solution Steps

Factor out x.

$$x\left(48+49x\right)$$

Consider 6+42x+42+7x. Multiply and combine like terms.

$$49x+48$$

Rewrite the complete factored expression.

$$x\left(49x+48\right)$$