Solve (5(x^3))/6 =4 (3(x-1))/5

Evaluate

\frac{5 x ^{3}}{6} = 4 \times \frac{3 ( x - 1 )}{5}

Multiply the terms

More Steps

\frac{5 x ^{3}}{6} = \frac{12 ( x - 1 )}{5}

Cross multiply

5 x^{3} \times 5 = 6 \times 12 (x - 1)

Simplify the equation

25 x^{3} = 6 \times 12 (x - 1)

Simplify the equation

25 x^{3} = 72 (x - 1)

Expand the expression

More Steps

25 x^{3} = 72 x - 72

Move the expression to the left side

25 x^{3} - (72 x - 72) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

25 x^{3} - 72 x + 72 = 0

Calculate

x \approx - 2.067174 x \approx 1.033587 + 0.570004 i x \approx 1.033587 - 0.570004 i

Solution

x_{1} \approx 1.033587 - 0.570004 i, x_{2} \approx 1.033587 + 0.570004 i, x_{3} \approx - 2.067174

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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