Solve 2x^2+3x+5x^2-2x+x^2+x

$$2 x ^ { 2 } + 3 x + 5 x ^ { 2 } - 2 x + x ^ { 2 } + x$$

Evaluate

$$2x\left(4x+1\right)$$

Solution Steps

Combine 2x^{2} and 5x^{2} to get 7x^{2}.

$$7x^{2}+3x-2x+x^{2}+x$$

Combine 3x and -2x to get x.

$$7x^{2}+x+x^{2}+x$$

Combine 7x^{2} and x^{2} to get 8x^{2}.

$$8x^{2}+x+x$$

Combine x and x to get 2x.

$$8x^{2}+2x$$

Factor

$$2x\left(4x+1\right)$$

Solution Steps

Factor out x.

$$x\left(8x+2\right)$$

Consider 2x+3+5x-2+x+1. Multiply and combine like terms.

$$8x+2$$

Consider 8x+2. Factor out 2.

$$2\left(4x+1\right)$$

Rewrite the complete factored expression.

$$2x\left(4x+1\right)$$