Solve 8(18x)-1(2-1x) 4(54x)

Question

8 \times 18 x - 1 \times (2 - 1 \times x) \times 4 \times 54 x

Simplify the expression

- 288 x + 216 x^{2}

Show Solution

72 x (- 4 + 3 x)

Show Solution

x_{1} = 0, x_{2} = \frac{4}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{3}

Evaluate

8 (18 x) - 1 \times (2 - 1 \times x) \times 4 (54 x)

To find the roots of the expression,set the expression equal to 0

8 (18 x) - 1 \times (2 - 1 \times x) \times 4 (54 x) = 0

Multiply the terms

8 \times 18 x - 1 \times (2 - 1 \times x) \times 4 (54 x) = 0

Any expression multiplied by 1 remains the same

8 \times 18 x - 1 \times (2 - x) \times 4 (54 x) = 0

Multiply the terms

8 \times 18 x - 1 \times (2 - x) \times 4 \times 54 x = 0

Multiply the numbers

144 x - 1 \times (2 - x) \times 4 \times 54 x = 0

Multiply the terms

More Steps

144 x - 216 x (2 - x) = 0

Calculate

More Steps

- 288 x + 216 x^{2} = 0

Factor the expression

More Steps

- 72 x (4 - 3 x) = 0

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

- 72 x = 0 4 - 3 x = 0

Solve the equation for x

More Steps

x = 0 4 - 3 x = 0

Solve the equation for x

More Steps

x = 0 x = \frac{4}{3}

Solution

x_{1} = 0, x_{2} = \frac{4}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{3}

Show Solution