Question

Use the factoring to find the solution to the following equation

Answer 1

Answer:

Step-by-step explanation:

13x^2 + 56x + 75 = 4x^2 - 10x - 46

You need to first combine like terms, so subtract 4x^2 from both sides,

9x^2 + 56x + 75 = -10x - 46

then add -10x to both sides

9x^2 +66x + 75 = -46

then add -46 to both sides

9x^2 + 66x + 121 = 0

Then use the quadratic formula, $x = \frac{-b+- \sqrt[]{b^2-4ac} }{2a}$  

So

a = 9

b= 66

c = 121

$x=\frac{-66+-\sqrt[]{66^2 - (4*9*121)} }{2*9}$

That simplifies to

$x = \frac{-66+-\sqrt{0} }{18}$

Which simplifies to

$x = \frac{-66}{18}$

Which simplifies to $x = - \frac{11}{3}$

or

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

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