Answer: x=-3 & x=3/2
Step-by-step explanation:
1. Simplify the expression
- Divide both sides by the same factor
9=2x^2+3x
2x^2 + 3x - 9 = 0
2. Use the quadratic formula
- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2x^2 + 3x - 9 = 0
a = 2
b = 3
c = -9
x = √-3±3^2−4⋅2(−9)/2⋅2
3. Simplify, again.
- Evaluate the exponent
- Multiply the numbers
- Add the numbers
- Evaluate the square root
x=−3±9/4
4. Separate the equations
- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=−3+9/4
x=-3-9/4
5. Solve
- Rearrange and isolate the variable to find each solution.
x=3/2
x=-3