Question

Solve for variable exactly with all solutions:
x(2x+3)=44

Answer 1

It's a quadratic equation.

Answer 2

2x^2+3x=44
2x^2+3x-44=0

quadratic equation formula-\[x=(-b \pm( \sqrt{b ^{2}-4ac}))\div2a\]
plugging it in, we get two solutions- -5.5 and 4.

Hope this helps

Answer 3

distribute and write everything on the left hand side of the equals sign

2x^2 + 3x - 44 = 0

this can be factorises

or solved using the general quadratic formula

\[x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\]

where a = 2, b = 3 and c = -44