# Factorize the equation 6=5\cos \theta + 6\cos^{2}\theta

Factorize the equation
$6=5\mathrm{cos}\theta +6{\mathrm{cos}}^{2}\theta$
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Step 1
Given: $6=5\mathrm{cos}\theta +6{\mathrm{cos}}^{2}\theta$
For doing factorization of given expression, we do transportation and then use factorization method
Step 2
So,
$6=5\mathrm{cos}\theta +6{\mathrm{cos}}^{2}\theta$
$6{\mathrm{cos}}^{2}\theta +5\mathrm{cos}\theta -6=0$
$6{\mathrm{cos}}^{2}\theta +9\mathrm{cos}\theta -4\mathrm{cos}\theta -6=0$
$3\mathrm{cos}\theta \left(2\mathrm{cos}\theta +3\right)-2\left(2\mathrm{cos}\theta +3\right)=0$
$\left(2\mathrm{cos}\theta +3\right)\left(3\mathrm{cos}\theta -2=\right)=0$
Hence, factors equation can be find as above.

We have step-by-step solutions for your answer!