Solve 5x^2 11x=2x^2

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Type your math problem... 5x^2 11x=2x^2

Question

Solve the equation

x_{1} = 0, x_{2} = \frac{2}{55}

Alternative Form

x_{1} = 0, x_{2} = 0.0 \dot{3} \dot{6}

Evaluate

5 x^{2} \times 11 x = 2 x^{2}

Multiply

More Steps

Evaluate

5 x^{2} \times 11 x

Multiply the terms

55 x^{2} \times x

Multiply the terms with the same base by adding their exponents

55 x^{2 + 1}

Add the numbers

55 x^{3}

55 x^{3} = 2 x^{2}

Add or subtract both sides

55 x^{3} - 2 x^{2} = 0

Factor the expression

x^{2} (55 x - 2) = 0

Separate the equation into 2 possible cases

x^{2} = 0 55 x - 2 = 0

The only way a power can be 0 is when the base equals 0

x = 0 55 x - 2 = 0

Solve the equation

More Steps

Evaluate

55 x - 2 = 0

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

55 x = 0 + 2

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

55 x = 2

Divide both sides

\frac{55 x}{55} = \frac{2}{55}

Divide the numbers

x = \frac{2}{55}

x = 0 x = \frac{2}{55}

Solution

x_{1} = 0, x_{2} = \frac{2}{55}

Alternative Form

x_{1} = 0, x_{2} = 0.0 \dot{3} \dot{6}

Show Solution

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