Question

drag the tiles to the boxes to form correct pairs.

match each equation to its factorized version and solution.

\\(24x - 6x^2 = 0\\)
\\(2x(x + 3) = 0\\)
solution: \\(x = 0, x = -3\\)
\\(14x - 7x^2 = 0\\)
\\(6x(4 - x) = 0\\)
solution: \\(x = 0, x = 4\\)
\\(2x^2 + 6x = 0\\)
\\(x(4 - x) = 0\\)
solution: \\(x = 0, x = 4\\)
\\(4x - x^2 = 0\\)
\\(7x(2 - x) = 0\\)

Explanation:

Factor and solve the first equation

$$
LATEXBLOCK0
$$

Factor and solve the second equation

$$
LATEXBLOCK1
$$

Factor and solve the remaining equations

$$
LATEXBLOCK2
$$

Answer:

The correct matching pairs of equations with their corresponding factorized versions and solutions are:

• Pair 1:
• Left: \(24x - 6x^2 = 0\)
• Right: \(6x(4 - x) = 0\), Solution: \(x = 0, x = 4\)

• Pair 2:
• Left: \(2x^2 + 6x = 0\)
• Right: \(2x(x + 3) = 0\), Solution: \(x = 0, x = -3\)

• Pair 3:
• Left: \(14x - 7x^2 = 0\)
• Right: \(7x(2 - x) = 0\), Solution: \(x = 0, x = 2\)

• Pair 4:
• Left: \(4x - x^2 = 0\)
• Right: \(x(4 - x) = 0\), Solution: \(x = 0, x = 4\)