Solve (4-5x)(2+x)=-(4+5x^2

$$( 4 - 5 x ) ( 2 + x ) = - ( 4 + 5 x ^ { 2 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4-5x by 2+x and combine like terms.

$$8-6x-5x^{2}=-\left(4+5x^{2}\right)$$

To find the opposite of 4+5x^{2}, find the opposite of each term.

$$8-6x-5x^{2}=-4-5x^{2}$$

Add 5x^{2} to both sides.

$$8-6x-5x^{2}+5x^{2}=-4$$

Combine -5x^{2} and 5x^{2} to get 0.

$$8-6x=-4$$

Subtract 8 from both sides.

$$-6x=-4-8$$

Subtract 8 from -4 to get -12.

$$-6x=-12$$

Divide both sides by -6.

$$x=\frac{-12}{-6}$$

Divide -12 by -6 to get 2.

$$x=2$$