Solve = x^ 2 -10x+25 5(3x+1)-x(3x+1) | 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

$$=\frac{x^{2}-10x+25}{5(3x+1)-x(3x+1)}$$

Evaluate

$-\frac{x-5}{3x+1}$

Short Solution Steps

Use the distributive property to multiply $5$ by $3x+1$.

$$\frac{x^{2}-10x+25}{15x+5-x\left(3x+1\right)}$$

Use the distributive property to multiply $x$ by $3x+1$.

$$\frac{x^{2}-10x+25}{15x+5-\left(3x^{2}+x\right)}$$

To find the opposite of $3x^{2}+x$, find the opposite of each term.

$$\frac{x^{2}-10x+25}{15x+5-3x^{2}-x}$$

Combine $15x$ and $-x$ to get $14x$.

$$\frac{x^{2}-10x+25}{14x+5-3x^{2}}$$

Expand

$-\frac{x-5}{3x+1}$

Short Solution Steps

Use the distributive property to multiply $5$ by $3x+1$.

$$\frac{x^{2}-10x+25}{15x+5-x\left(3x+1\right)}$$

Use the distributive property to multiply $x$ by $3x+1$.

$$\frac{x^{2}-10x+25}{15x+5-\left(3x^{2}+x\right)}$$

To find the opposite of $3x^{2}+x$, find the opposite of each term.

$$\frac{x^{2}-10x+25}{15x+5-3x^{2}-x}$$

Combine $15x$ and $-x$ to get $14x$.

$$\frac{x^{2}-10x+25}{14x+5-3x^{2}}$$