Solve 4x^2-5=2x(3+2x)

$$4 { x }^{ 2 } -5=2x(3+2x)$$

Solve for x

$$x=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x by 3+2x.

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

Subtract 6x from both sides.

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

Subtract 4x^{2} from both sides.

$$4x^{2}-5-6x-4x^{2}=0$$

Combine 4x^{2} and -4x^{2} to get 0.

$$-5-6x=0$$

Add 5 to both sides. Anything plus zero gives itself.

$$-6x=5$$

Divide both sides by -6.

$$x=\frac{5}{-6}$$

Fraction \frac{5}{-6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$x=-\frac{5}{6}$$