Final answer:
To solve the equation, first rearrange it to combine like terms and set it equal to zero. Then, identify any common factors. If it becomes quadratic, apply the quadratic formula to find the solutions of 'x'.
Step-by-step explanation:
Steps to Solve the Given Equation
To find the solutions of the equation '-5x⁴+4x²+8x=-6x⁴-2x³', follow these steps:
- Move all terms to one side of the equation to set it equal to zero.
- Simplify by combining like terms.
- Look for common factors to simplify the equation further if possible.
- After simplifying, if the equation is quadratic in form, use the quadratic formula to solve for the variable 'x'.
If the equation is reduced to a quadratic equation, it will take the form ax² + bx + c = 0. Once it's in this form, the quadratic formula, which is -b ± √(b² - 4ac)/(2a), can be applied to find the values of 'x' that satisfy the equation.