Solve 6x-(x)^(2)+4(x)^(2)-x+2(x)^(2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$6x- { x }^{ 2 } +4 { x }^{ 2 } -x+2 { x }^{ 2 }$$

Evaluate

$5x\left(x+1\right)$

Solution Steps

Combine $-x^{2}$ and $4x^{2}$ to get $3x^{2}$.

$$6x+3x^{2}-x+2x^{2}$$

Combine $6x$ and $-x$ to get $5x$.

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

Combine $3x^{2}$ and $2x^{2}$ to get $5x^{2}$.

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

Factor

$5x\left(x+1\right)$

Solution Steps

Factor out $x$.

$$x\left(5+5x\right)$$

Consider $6-x+4x-1+2x$. Multiply and combine like terms.

$$5x+5$$

Consider $5x+5$. Factor out $5$.

$$5\left(x+1\right)$$

Rewrite the complete factored expression.

$$5x\left(x+1\right)$$