Solve left(2.4x-1right)^2-0.2x-5.76x^2=3

$${ \left(2.4x-1 \right) }^{ 2 } -0.2x-5.76 { x }^{ 2 } = 3$$

Solve for x

$$x=-0.4$$

Steps for Solving Linear Equation

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2.4x-1\right)^{2}.

$$5.76x^{2}-4.8x+1-0.2x-5.76x^{2}=3$$

Combine -4.8x and -0.2x to get -5x.

$$5.76x^{2}-5x+1-5.76x^{2}=3$$

Combine 5.76x^{2} and -5.76x^{2} to get 0.

$$-5x+1=3$$

Subtract 1 from both sides.

$$-5x=3-1$$

Subtract 1 from 3 to get 2.

$$-5x=2$$

Divide both sides by -5.

$$x=\frac{2}{-5}$$

Fraction \frac{2}{-5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$x=-\frac{2}{5}$$