Solve 4x 10=6x^2 - ScanMath

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Type your math problem... 4x 10=6x^2

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = \frac{20}{3}

Alternative Form

x_{1} = 0, x_{2} = 6. \dot{6}

Evaluate

4 x \times 10 = 6 x^{2}

Multiply the terms

40 x = 6 x^{2}

Swap the sides

6 x^{2} = 40 x

Move the expression to the left side

6 x^{2} - 40 x = 0

Factor the expression

More Steps

Evaluate

6 x^{2} - 40 x

Rewrite the expression

2 x \times 3 x - 2 x \times 20

Factor out 2 x from the expression

2 x (3 x - 20)

2 x (3 x - 20) = 0

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

3 x - 20 = 0 2 x = 0

Solve the equation for x

More Steps

Evaluate

3 x - 20 = 0

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

3 x = 0 + 20

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

3 x = 20

Divide both sides

\frac{3 x}{3} = \frac{20}{3}

Divide the numbers

x = \frac{20}{3}

x = \frac{20}{3} 2 x = 0

Solve the equation for x

x = \frac{20}{3} x = 0

Solution

x_{1} = 0, x_{2} = \frac{20}{3}

Alternative Form

x_{1} = 0, x_{2} = 6. \dot{6}

Show Solution

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