Solve 2094*x^3+31416*x^2-400/62832*x^2+62832*x

$$\frac{ 2094 \times { x }^{ 3 } +31416 \times { x }^{ 2 } -400 }{ 62832 \times { x }^{ 2 } +62832 \times x }$$

Evaluate

$$\frac{1047x^{3}+15708x^{2}-200}{31416x\left(x+1\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(1047x^{3}+15708x^{2}-200\right)}{62832x\left(x+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1047x^{3}+15708x^{2}-200}{31416x\left(x+1\right)}$$

Expand the expression.

$$\frac{1047x^{3}+15708x^{2}-200}{31416x^{2}+31416x}$$

Expand

$$\frac{1047x^{3}+15708x^{2}-200}{31416\left(x^{2}+x\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(1047x^{3}+15708x^{2}-200\right)}{62832x\left(x+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1047x^{3}+15708x^{2}-200}{31416x\left(x+1\right)}$$

Expand the expression.

$$\frac{1047x^{3}+15708x^{2}-200}{31416x^{2}+31416x}$$