Math Problem Statement

The query submitted by the user:

Solution

The image contains two mathematical expressions. I will interpret and solve them step by step.

Left Side Expression

The expression on the left side appears to be: (3)+7(2)=17(3) + 7(2) = 17

Let's break this down:

  1. First, compute the multiplication: 7×2=147 \times 2 = 14.
  2. Then, add 3: 3+14=173 + 14 = 17.

So, the left side simplifies to: 17=1717 = 17

This is a true statement.

Right Side Expression

The expression on the right side appears to be: x+x=x×xx + x = x \times x

Let's break this down:

  1. Combine the terms on the left: 2x=x22x = x^2.
  2. To solve for xx, rearrange the equation: x22x=0x^2 - 2x = 0.
  3. Factor the equation: x(x2)=0x(x - 2) = 0.

This gives us two solutions: x=0orx=2x = 0 \quad \text{or} \quad x = 2

Summary

  • The left side expression 3+7(2)=173 + 7(2) = 17 is true.
  • The right side expression x+x=x×xx + x = x \times x has solutions x=0x = 0 and x=2x = 2.

Would you like more details on any of these steps or have any questions?

Here are 5 related questions to consider:

  1. How can the equation x(x2)=0x(x - 2) = 0 be solved using the quadratic formula?
  2. What does the solution x=0x = 0 and x=2x = 2 represent geometrically?
  3. How would the equation change if we added a constant to both sides?
  4. What is the significance of the equation 2x=x22x = x^2 in algebraic terms?
  5. How do we solve similar quadratic equations?

Tip: Always verify your solutions by substituting them back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations
Multiplication
Factorization

Formulas

Quadratic equation solving

Theorems

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Suitable Grade Level

Grades 9-12