Let's first simplify the equation step by step:
-(4-x) - 4(x-5) = 5(1-x) * x/4 - 2 = -5
Expand each term:
-4 + x - 4x + 20 = 5x/4 - 5x^2/4 - 2 = -5
Combine like terms:
-3x + 16 = 5x/4 - 5x^2/4 - 2 = -5
Move all terms to the left side of the equation:
-3x + 5x/4 - 5x^2/4 - 2 - 16 + 5 = 0
Multiply through by 4 to clear fractions:
-12x + 5x - 5x^2 - 8 - 64 + 20 = 0
-7x - 5x^2 - 52 = 0
Rearrange the equation in standard form:
5x^2 + 7x + 52 = 0
This is a quadratic equation that can be solved using the quadratic formula.
Let's first simplify the equation step by step:
-(4-x) - 4(x-5) = 5(1-x) * x/4 - 2 = -5
Expand each term:
-4 + x - 4x + 20 = 5x/4 - 5x^2/4 - 2 = -5
Combine like terms:
-3x + 16 = 5x/4 - 5x^2/4 - 2 = -5
Move all terms to the left side of the equation:
-3x + 5x/4 - 5x^2/4 - 2 - 16 + 5 = 0
Multiply through by 4 to clear fractions:
-12x + 5x - 5x^2 - 8 - 64 + 20 = 0
Combine like terms:
-7x - 5x^2 - 52 = 0
Rearrange the equation in standard form:
5x^2 + 7x + 52 = 0
This is a quadratic equation that can be solved using the quadratic formula.