Solve x^3 - 3x^2 - 10x^24 = 0

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Example problems

Type your math problem... x^3 - 3x^2 - 10x^24 = 0

Question

Solve the equation

x_{1} = 0, x_{2} = 43

Evaluate

x^{3} - 3 x^{2} - 10 x^{2} \times 4 = 0

Simplify

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Evaluate

x^{3} - 3 x^{2} - 10 x^{2} \times 4

Multiply the terms

x^{3} - 3 x^{2} - 40 x^{2}

Subtract the terms

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Evaluate

- 3 x^{2} - 40 x^{2}

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

(- 3 - 40) x^{2}

Subtract the numbers

- 43 x^{2}

x^{3} - 43 x^{2}

x^{3} - 43 x^{2} = 0

Factor the expression

x^{2} (x - 43) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x - 43 = 0

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

x = 0 x - 43 = 0

Solve the equation

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Evaluate

x - 43 = 0

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

x = 0 + 43

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

x = 43

x = 0 x = 43

Solution

x_{1} = 0, x_{2} = 43

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