Mathematics: I need help asap please

I need help asap please - id7180321, JOHNDoe3443

alyssagibson6057

30.01.2022

$x = -\frac{3}{2}$ or x = 1

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, 2x^2 + x - 1 = 2 , to zero. Then factorise the left side.

Thus,

2x^2 + x - 1 = 2

Subtract 2 from both sides

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factorise the left side

2x^2 + 3x - 2x - 3 = 0

x(2x + 3) - 1(2x + 3) = 0

(x - 1)(2x + 3) = 0

Find the solution

x - 1 = 0

2x + 3 = 0

x = 1

2x + 3 = 0

2x = -3

$x = -\frac{3}{2}$

The answer is: x = 1 or $x = -\frac{3}{2}$

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