Write the quadratic equation in general form 4x289x 4x29x80

Write the quadratic equation in general form. 4x^2=8-9x 4x^2+9x+8=0 4x^2+9x=-8 4x^2-9x-8=0 -4x^2+9x-8=0 4x^2+9x-8=0 Solve the quadratic equation by factoring. X^2-6x+5=0 -1,5 -1,-5 1,-5

Solution

4x^2 = 8 - 9x
rearranging:
4x^2 +9x -8= 0
Answer: last option

x^2-6x+5 = 0
= x^2-5x-x+5 = 0
= x(x-5)+1(x-5)=0
= (x-5)(x+1)=0

so,
x=5 and x=-1
Answer: -1, 5