Complete the steps for solving 7 = –2x2 + 10x. factor out of the variable terms. inside the parentheses and on the left side of the equation. write the perfect square trinomial as a binomial squared. divide both sides by –2. use the square root property of equality. add to both sides

we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Divide both sides by

Rewrite as perfect squares

Taking the square roots of both sides (square root property of equality)

Remember that

the answer is

The solutions are