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

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

Evaluate

$$x\left(85x+42\right)$$

Solution Steps

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

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

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

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

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

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

Multiply 6 and 6 to get 36.

$$36x^{2}+7x^{2}\times 6+6\times 7x+x^{2}\times 7$$

Multiply 7 and 6 to get 42.

$$36x^{2}+42x^{2}+6\times 7x+x^{2}\times 7$$

Combine 36x^{2} and 42x^{2} to get 78x^{2}.

$$78x^{2}+6\times 7x+x^{2}\times 7$$

Multiply 6 and 7 to get 42.

$$78x^{2}+42x+x^{2}\times 7$$

Combine 78x^{2} and x^{2}\times 7 to get 85x^{2}.

$$85x^{2}+42x$$

Factor

$$x\left(85x+42\right)$$

Solution Steps

Factor out x.

$$x\left(36x+42x+42+7x\right)$$

Consider 36x+42x+42+7x. Multiply and combine like terms.

$$85x+42$$

Rewrite the complete factored expression.

$$x\left(85x+42\right)$$