Since w is on the right side of the equation, switch the sides so it is on the left side of the equation.
Simplify each term.
Raise 7 to the power of 2.
Multiply -1 by 49.
Move all terms containing w to the left side of the equation.
Subtract w from both sides of the equation.
Subtract w from -6w.
Move all terms to the left side of the equation and simplify.
Move 49 to the left side of the equation by adding it to both sides.
Add 56 and 49.
Use the quadratic formula to find the solutions.
Substitute the values a=2, b=-7, and c=105 into the quadratic formula and solve for w.
Simplify the numerator.
Raise -7 to the power of 2.
Multiply 2 by 105.
Multiply -4 by 210.
Subtract 840 from 49.
Rewrite -791 as -1(791).
Rewrite -1(791) as -1⋅791.
Rewrite -1 as i.
Multiply 2 by 2.
The final answer is the combination of both solutions.
Solve for w w-7^2=2w^2-6w+56