# How do you use the quadratic formula to solve -2.8x=-3.8x^2+1.4?

Mar 17, 2017

$x = 1.0785 , - 0.3416$

#### Explanation:

Re-arrange the formula
$3.8 {x}^{2} - 2.8 x - 1.4 = 0$

This is the $a {x}^{2} + b x + c = 0$ format,
so $a = 3.8 , b = - 2.8 , \mathmr{and} c = - 1.4$

The quadratic equation is $\frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

Plug in the data:$\frac{- \left(- 2.8\right) \pm \sqrt{{\left(- 2.8\right)}^{2} - 4 \cdot \left(3.8\right) \cdot \left(- 1.4\right)}}{2 \left(3.8\right)}$