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# Which is a solution to the equation?(x - 3)(x - 5) = 35

x = -8, x = -5, x = 2, x = 10

**Solution:**

We will first simplify the given quadratic equation, then solve it for the value of x using factorization.

**Step 1: **Simplify the equation (x - 3)(x - 5) = 35

x^{2} - 5x - 3x + 15 = 35

x^{2} - 8x - 20 = 0

**Step 2: **Let us factorize by splitting the middle term.

x^{2} - 8x - 20 = 0

x^{2} - 10x + 2x - 20 = 0

**Step 3: **Take out the common terms.

x(x - 10) + 2(x - 10) = 0

(x - 10)(x + 2) = 0

**Step 4: **Put the values equal to 0.

x + 2 = 0 or x - 10 = 0

Thus x = -2 or x = 10

## Which is a solution to the equation?(x - 3)(x - 5) = 35

**Summary:**

The solution to the equation (x - 3)(x - 5) = 35 is x = 10 which satisfies the equation.

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