Solve 8(x-10)-4(x^3)=9x-7-7x 1

Question

Solve the equation(The real numbers system)

x \approx - 2.822423

Evaluate

8 (x - 10) - 4 x^{3} = 9 x - 7 - 7 x \times 1

Evaluate

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Evaluate

9 x - 7 - 7 x \times 1

Multiply the terms

9 x - 7 - 7 x

Subtract the terms

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Evaluate

9 x - 7 x

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

(9 - 7) x

Subtract the numbers

2 x

2 x - 7

8 (x - 10) - 4 x^{3} = 2 x - 7

Move the expression to the left side

8 (x - 10) - 4 x^{3} - (2 x - 7) = 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

8 (x - 10) - 4 x^{3} - 2 x + 7 = 0

Calculate the sum or difference

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Evaluate

8 (x - 10) - 4 x^{3} - 2 x + 7

Expand the expression

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Calculate

8 (x - 10)

Apply the distributive property

8 x - 8 \times 10

Multiply the numbers

8 x - 80

8 x - 80 - 4 x^{3} - 2 x + 7

Subtract the terms

More Steps

Evaluate

8 x - 2 x

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

(8 - 2) x

Subtract the numbers

6 x

6 x - 80 - 4 x^{3} + 7

Add the numbers

6 x - 73 - 4 x^{3}

6 x - 73 - 4 x^{3} = 0

Solution

x \approx - 2.822423

Show Solution

Solve the equation(The complex numbers system)

x_{1} \approx 1.411212 - 2.115315 i, x_{2} \approx 1.411212 + 2.115315 i, x_{3} \approx - 2.822423

Evaluate

8 (x - 10) - 4 x^{3} = 9 x - 7 - 7 x \times 1

Simplify

More Steps

Evaluate

9 x - 7 - 7 x \times 1

Multiply the terms

9 x - 7 - 7 x

Subtract the terms

More Steps

Evaluate

9 x - 7 x

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

(9 - 7) x

Subtract the numbers

2 x

2 x - 7

8 (x - 10) - 4 x^{3} = 2 x - 7

Move the expression to the left side

8 (x - 10) - 4 x^{3} - (2 x - 7) = 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

8 (x - 10) - 4 x^{3} - 2 x + 7 = 0

Calculate the sum or difference

More Steps

Evaluate

8 (x - 10) - 4 x^{3} - 2 x + 7

Expand the expression

More Steps

Calculate

8 (x - 10)

Apply the distributive property

8 x - 8 \times 10

Multiply the numbers

8 x - 80

8 x - 80 - 4 x^{3} - 2 x + 7

Subtract the terms

More Steps

Evaluate

8 x - 2 x

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

(8 - 2) x

Subtract the numbers

6 x

6 x - 80 - 4 x^{3} + 7

Add the numbers

6 x - 73 - 4 x^{3}

6 x - 73 - 4 x^{3} = 0

Calculate

x \approx - 2.822423 x \approx 1.411212 + 2.115315 i x \approx 1.411212 - 2.115315 i

Solution

x_{1} \approx 1.411212 - 2.115315 i, x_{2} \approx 1.411212 + 2.115315 i, x_{3} \approx - 2.822423

Show Solution

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph