Solve x(0.15-0.000002x)-0.083x-0.000005x^2

$$x(0.15-0.000002x)-0.083x-0.000005 { x }^{ 2 }$$

Evaluate

$$x\left(-\frac{7x}{1000000}+0.067\right)$$

Solution Steps

Use the distributive property to multiply x by 0.15-0.000002x.

$$0.15x-0.000002x^{2}-0.083x-0.000005x^{2}$$

Combine 0.15x and -0.083x to get 0.067x.

$$0.067x-0.000002x^{2}-0.000005x^{2}$$

Combine -0.000002x^{2} and -0.000005x^{2} to get -0.000007x^{2}.

$$0.067x-0.000007x^{2}$$

Expand

$$-\frac{7x^{2}}{1000000}+\frac{67x}{1000}$$

Solution Steps

Use the distributive property to multiply x by 0.15-0.000002x.

$$0.15x-0.000002x^{2}-0.083x-0.000005x^{2}$$

Combine 0.15x and -0.083x to get 0.067x.

$$0.067x-0.000002x^{2}-0.000005x^{2}$$

Combine -0.000002x^{2} and -0.000005x^{2} to get -0.000007x^{2}.

$$0.067x-0.000007x^{2}$$