Solve 3(4x^2)=6(2x 1)

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Type your math problem... 3(4x^2)=6(2x 1)

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = 1

Evaluate

3 \times 4 x^{2} = 6 (2 x \times 1)

Remove the parentheses

3 \times 4 x^{2} = 6 \times 2 x \times 1

Multiply the numbers

12 x^{2} = 6 \times 2 x \times 1

Multiply the terms

More Steps

Evaluate

6 \times 2 x \times 1

Rewrite the expression

6 \times 2 x

Multiply the terms

12 x

12 x^{2} = 12 x

Move the expression to the left side

12 x^{2} - 12 x = 0

Factor the expression

More Steps

Evaluate

12 x^{2} - 12 x

Rewrite the expression

12 x \times x - 12 x

Factor out 12 x from the expression

12 x (x - 1)

12 x (x - 1) = 0

When the product of factors equals 0,at least one factor is 0

x - 1 = 0 12 x = 0

Solve the equation for x

More Steps

Evaluate

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x = 1 12 x = 0

Solve the equation for x

x = 1 x = 0

Solution

x_{1} = 0, x_{2} = 1

Show Solution

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