# How do you solve 4x^2 + x = 60?

Jun 11, 2015

color(green)( x=15/4 , x = -4 are the solutions.

#### Explanation:

$4 {x}^{2} + x = 60$
$4 {x}^{2} + x - 60 = 0$

We can first factorise the expression and then find the solutions.

Factorising by splitting the middle term:

$4 {x}^{2} + x - 60 = 4 {x}^{2} + \left(16 x - 15 x\right) - 60$

$= 4 x \left(x + 4\right) - 15 \left(x + 4\right)$

$\left(x + 4\right)$ is common to both terms.
 color(green)((4x-15)(x+4) is the factorised form.

Upon equating $x$ of both the terms with $0$ we can obtain the solution.
color(green)( x=15/4 , x = -4 are the solutions.