Final answer to the problem
Step-by-step Solution
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- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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Move everything to the left hand side of the equation
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$\left(3x-1\right)^2-3\left(2x+3\right)^2+42-2x\left(-x-5\right)+\left(x-1\right)^2=0$
Learn how to solve equations problems step by step online. Solve the equation (3x-1)^2-3(2x+3)^2+42=2x(-x-5)-(x-1)^2. Move everything to the left hand side of the equation. Multiply the single term -2x by each term of the polynomial \left(-x-5\right). Expand \left(3x-1\right)^2. Add the values 1 and 42.