Solve x- (12x 1)/3 =2x 1- (15x^4)/3

Question

x - \frac{12 x \times 1}{3} = 2 x \times 1 - \frac{15 x ^{4}}{3}

Solve the equation

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

Evaluate

x - \frac{12 x \times 1}{3} = 2 x \times 1 - \frac{15 x ^{4}}{3}

Simplify

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Evaluate

x - \frac{12 x \times 1}{3}

Reduce the fraction

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Evaluate

\frac{12 x \times 1}{3}

Any expression multiplied by 1 remains the same

\frac{12 x}{3}

Reduce the fraction

4 x

x - 4 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 4) x

Subtract the numbers

- 3 x

- 3 x = 2 x \times 1 - \frac{15 x ^{4}}{3}

Simplify

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Evaluate

2 x \times 1 - \frac{15 x ^{4}}{3}

Divide the terms

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Evaluate

\frac{15}{3}

Reduce the numbers

\frac{5}{1}

Calculate

5

2 x \times 1 - 5 x^{4}

Multiply the terms

2 x - 5 x^{4}

- 3 x = 2 x - 5 x^{4}

Move the expression to the left side

- 3 x - (2 x - 5 x^{4}) = 0

Subtract the terms

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Evaluate

- 3 x - (2 x - 5 x^{4})

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

- 3 x - 2 x + 5 x^{4}

Subtract the terms

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Evaluate

- 3 x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(- 3 - 2) x

Subtract the numbers

- 5 x

- 5 x + 5 x^{4}

- 5 x + 5 x^{4} = 0

Factor the expression

5 x (- 1 + x^{3}) = 0

Divide both sides

x (- 1 + x^{3}) = 0

Separate the equation into 2 possible cases

x = 0 - 1 + x^{3} = 0

Solve the equation

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Evaluate

- 1 + x^{3} = 0

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

x^{3} = 0 + 1

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

x^{3} = 1

Take the 3 -th root on both sides of the equation

3 x^{3} = 31

Calculate

x = 31

Simplify the root

x = 1

x = 0 x = 1

Solution

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

Show Solution

Solve the equation

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