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, [tex]x = \frac{-b+- \sqrt[]{b^2-4ac} }{2a}[/tex]
So
a = 9
b= 66
c = 121
[tex]x=\frac{-66+-\sqrt[]{66^2 - (4*9*121)} }{2*9}[/tex]
That simplifies to
[tex]x = \frac{-66+-\sqrt{0} }{18}[/tex]
Which simplifies to
[tex]x = \frac{-66}{18}[/tex]
Which simplifies to [tex]x = - \frac{11}{3}[/tex]
or
[tex]x = -3\frac{2}{3}[/tex]
