Solve 2x^2 + 3x - 2
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The specific expression or equation this page is built around.
2x^2 + 3x - 2 = 0
This quadratic can still be solved by factorising, even with a coefficient greater than 1 in front of x^2.
The key is to build the brackets carefully and then check by expansion.
One structured route through this exact problem.
- 1Set up the bracket pattern (2x ...)(x ...).
- 2Use values that multiply to -2 and give a middle term of +3x after expansion.
- 3The factorisation is (2x - 1)(x + 2) = 0.
- 4Set each bracket equal to 0.
- 5The solutions are x = 1/2 and x = -2.
Use these quick checks before relying on the route.
- Expand the brackets to confirm the middle term becomes +3x.
- Substitute each answer back into the original equation to confirm it gives 0.
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